Make sure and plan on eating lunch or supper at Shaker Town. You might want to consider calling ahead for reservations. And plan on buying one of their cookbooks!
Something off the beaten path is Berea College. Founded in 1855 as the first interracial and co-educational college in the South, Berea College promotes understanding and kinship among all people, service to communities in Appalachia and beyond, and sustainable living practices which set an example of new ways to conserve our limited natural resources. (taken from their web site) -
http://www.berea.edu/Very few people know anything about Berea. Berea is truly a liberal college. (It is a liberal arts college but it is Liberal with a capital L, too!) It awards ALL students a four year scholarship based on grades and family financial ability. The school accepts NO tuition and all students are required to work in the school's industries as payment. It was initially founded to provide an education to all children - with NO regard to sex of race - who could not afford to go to school. Many well-to-do alumni would love for their children to attend Berea but all spots are reserved for needy students.
The entire town of Berea is an excellent way to see and understand the rich mountain way of life. You can see exhibits of mountain crafts and music and you may buy products that are nationally recognized and appreciated.
Then you might want to consider the Red River Gorge and the Natural Bridge State Park. This park is centered around one of the many natural rock formations found in the area. Activities here include riding the skylift, hiking the trails, swimming, camping, picnicking, shopping at the many shops, and dancing at Hoedown Island (taken from web site)
http://www.redrivergorge.com/That is just stuff in central to eastern Kentucky. (Since you were headed toward North Carolina. There are wonderful lakes for camping, fishing and water sports.
In the middle of Kentucky you can visit Abraham Lincoln's birthplace in Hodgenville, KY - free with beautiful picnic grounds. You can go to My Old Kentucky Home - in Bardstown, Maker Marks Distillery, Perryville Battlefield.
You might want to check out Louisville Slugger Museum (a must for all baseball fans), Muhammad Ali Museum, Kentucky Derby Museum all in Louisville.
There are lots more and I hope this helps.
And you can do a search at the Kentucky Tourism site by zones.
http://www.tourky.com/Feel free to PM if you would like suggests for a particular area. And I hope you come to love my home state as much as I do (present freepervilleism aside!).