Plains has no major hotel, a single small gas station and only a couple of restaurants, neither of which is usually open for dinner. Still, for the longest time, the tiny town had something that no other place in Georgia did: Jimmy Carter making it his home.

Especially as Mr. Carter withdrew from public life, the town has had years to prepare for life after him. But now that he is gone — Mr. Carter died last month at 100 — the town is hoping that its prospects as a tourism destination have not been buried along with its most famous son.

The optimism in Plains is grounded in the experience of other small towns known almost exclusively for their ties to a former president, which history has shown can still attract a crowd decades or centuries after that president has died.

Hyde Park, which borders the Hudson River in New York, has a steady stream of tourists coming to visit Franklin D. Roosevelt’s presidential library, home and gravesite. Tampico, Ill., has erected signs advertising itself as the birthplace of Ronald Reagan, trying to encourage people to take a brief detour on the way to Chicago to see the apartment where Mr. Reagan was born.

These towns and others are banking on the country’s enduring fascination with its presidents. particularly among the collection of history buffs who find the insights they can offer irresistible.

“I recognized that there was something about getting to experience what they experienced and getting to see the world through their eyes,” said Joe Faykosh, a history professor at Central Arizona College.

He has visited all the available presidential birthplaces and homes and has interned at the Rutherford B. Hayes Presidential Center in Fremont, Ohio. He met the Carters in 2017 after the former president taught Sunday school at Maranatha Baptist Church in Plains.

There is no guarantee that the appeal will last forever, though. More than 100 presidential sites in big cities and backcountry towns attract thousands of visitors each year, but interest can fade as a president drifts further into history. In recent years, the reappraisal of historical figures and the sins of the past that has toppled monuments and renamed schools has also affected the appeal of historic sites.

Charlottesville, Va., has seen a decline in visitors to Monticello, the plantation that once belonged to Thomas Jefferson. Tourism officials there have adapted, broadening what had once been a largely generous interpretation of Jefferson’s history to a more complex portrayal, including his role in upholding slavery as an institution. They have also tried to market Charlottesville as an emerging wine region — an identity Jefferson had also worked to establish around 250 years ago.

“Leisure trips have focused in the past on kind of historical discovery, and now people — because of their relationship with history, because of the politicizing of history — have a different relationship with the past,” said Courtney Cacatian, the executive director of the Charlottesville Albemarle Convention and Visitors Bureau. “A lot of people don’t seek it out as part of their vacation experience anymore.”

Plains isn’t so worried about the judgment of history. Many in the community believe that people’s perceptions of Mr. Carter’s legacy will continue to be favorable. Americans remain divided about his performance as president. But the week of funeral events highlighted a widespread admiration for his character and the extensive work he did after leaving office to protect democracy, fight ailments like Guinea worm disease and provide support to impoverished people worldwide.

Plains has become somewhat stuck in time — a capsule capturing the lives that Mr. Carter and his wife, Rosalynn, had lived there, even while they were still alive.

There are no drive-throughs or supermarkets. The Dollar General downtown has a brick facade that makes it look like it has been there forever. Plains High School no longer has students — it is a site maintained by the National Park Service, just like the Carter family farm outside town and even the Carters’s home off Main Street.

It is a transformation the Carters have been deeply involved in. They created an exhibition at the high school about segregation. Visitors walking around the president’s boyhood home and farm can hear recordings of Mr. Carter sharing memories of his childhood, such as visiting his Black neighbors who lived in a ramshackle home nearby and the absolute joy he felt when he received a pony for Christmas.

“There’s just so many things that President Carter had his hands in,” said AB Jackson, a councilwoman in Plains.

Sarah Wollenweber and her 17-year-old son, London, said that the amount of documentation of Mr. Carter’s life and where he grew up set Plains apart from other presidential sites they had visited across the country.

“He’s one of the last great presidents we’ve seen who is genuine and actually kind, so it’s been really great to experience this,” London said. He and his mother drove 12 hours from Bloomington, Ill., to see Mr. Carter’s coffin being carried through Plains last week.

“They dedicated the whole town to him and his wife,” he added.

Many residents believe the Carters were keenly aware of how much their presence attracted tourists and positively impacted the town’s economy.

From 2014 to 2019, when Mr. Carter was still routinely teaching Sunday school at Maranatha Baptist Church, at least 50,000 tourists a year came to Plains. Beginning in 2020, the number of sightseers dropped significantly, as the pandemic stymied tourism and the Carters’ health declined. But visitorship picked up again last year, with approximately 45,000 people coming through the town. That does not include the hundreds of people per day who descended on Plains after Mr. Carter died on Dec. 29.

Over many years, Mr. Carter encouraged improvements to increase the appeal for tourists. He founded the Friends of Jimmy Carter, a nonprofit that owns the Plains Historic Inn, with its seven suites, as well as the antique mall below it. He was also instrumental in opening one of the town’s two restaurants: the Buffalo Café, which serves cheeseburgers, salads and pimento cheese sandwiches. And he convinced legislators to fund a train that would drop visitors off at his former campaign headquarters.

“He wanted to make sure that the town stays viable,” said Kim Carter Fuller, the president’s niece. “Whatever he could do within reason, he did.”

But Plains could only accommodate so much. The town is less than one square mile in size and has little public land to sell for development. There is also tension between wanting to attract more tourists and not wanting to disturb the town’s traditional way of life.

“We don’t really want to change Plains,” said Ellen Harris, a councilwoman. “That’s what makes us unique.”

Locals were grateful that the Carters chose to be buried at their home instead of at their presidential library in Atlanta, a decision they hope will help to maintain a steady stream of visitors. In the coming months, the gravesites of the Carters will be opened to the public. The modest ranch home the president and the first lady built in 1961 — where they raised their children and returned to after leaving the White House — will be made accessible to the public for the first time shortly after.

Events with historical ties — like the city’s yearly peanut festival in September that pays homage to Mr. Carter’s roots as a farmer — will continue to be a draw, some say. There are also newer attractions. The latest, Apt. 9A, which opened for private tours in October, is the government-subsidized home Mr. Carter moved his wife and three sons into after his father’s death in 1953.

After a 2001 walk-through with Ms. Carter in the apartment, Annette Wise, who led the project, received donations and searched through thrift stores to find items to recreate the family’s modest furnishings at a time when they had almost no income. Paint chips in a closet helped her to track down the precise shade of dark green the Carters had painted their living room and later used in campaign signs.

Ms. Wise said she believes all the time and effort will ultimately be worthwhile.

“Plains is headed in the right direction,” said Ms. Wise, who is a member of the Plains Historical Preservation Trust and a founder and the president of the Rosalynn Carter Butterfly Trail. “They’ve left us big shoes to fill. But they’ve given us plenty of time to learn what to do.”

Rick Rojas contributed reporting. Kirsten Noyes contributed research.