The town of Danville is real close by, and downtown on Main St. is the Mayberry Cafe.
"When in central Indiana, be sure and say hey to Christine and Brad Born and the folks at the Mayberry Cafe, 78 West Main Street in Danville, Ind. They serve delicious meals every day. (Mon.-Sat: 11 a.m.-9 p.m.; Sun: 11 a.m.-8 p.m.) Goober Hat Night is every Tuesday. Wear a hat and get a free dessert with a dinner purchase. For more info, call the cafe at (317) 745-4067." –From The Andy Griffith Show Rerun Watchers Club.
You can see a picture of the outside here: