You've got a lot of good riding just a little north as you get into TN. Just about any direction. Mostly rural, two lane, mild roll to steep and curvy. Some of my favorites are to the northeast: TN hwys 16, 56, and 156 toward Sewanee. And if you go as far as Sewanee, you may as well run Hwy 41 north off of Monteagle Mountain.
Here's a very interesting spot on hwy 56 at Sherwood TN:
A pic of mine:
And to the west there is some very interesting riding in the Pickwick Dam area.
Then there's the Natchez Trace Pky all the way to Nashville......