Knoxville is the main home of the University of Tennessee, and they have excellent athletic programs. Trying to catch a game of some sort wouldn’t be bad.
There, you’re also not far from Oak Ridge National Labs. Oak Ridge used to have an excellent museum of science, and I dunno if there are tours of the labs or not.
Slightly southeast of there is the reservation of the Eastern Band of the Cherokee Nation. DEFINITELY worth a side trip.
If you make it to Nashville, you should take in the Grand Ole Opry, the Parthenon, and Centennial Park. The last 2 are on West End. Down from there, on Broadway, is the heart of the old country music industry. (The Opry has moved to a different part of town, but is worth taking in. They have live performances on Friday and Saturday nights.)
In the Broadway area and to either side for a couple blocks is the old Ryman Auditorium, the original home of the Opry; the Country Music Hall of Fame, the Walk of Fame, Music Row, plenty of honkytonks, the historic Union Station, and the entertainment district along the river.
The Opry was flooded and the mall nearby has yet to reopen, but the Opry itself is repaired, as is the adjacent Opryland Hotel, which is monstrous huge with a conservatory and all kinds of cool stuff inside. Behind all that is the General Jackson showboat, where you can take a dinner tour or a cocktail tour along the Cumberland River and listen to a great show at the same time.
If you were there during football season, I’d recommend seeing if the Tennessee Titans NFL team was playing at home, and take that in.
How dat?