Just booked week at Hillman Ferry Campground

Its a pretty good trip over to Nashville. Lot closer to Paducah, for what that's worth. I am not familiar with Paducah, but someone might give you some pointers for there. Be sure to to Paddy's up at Grand Rivers, and some tourist places there to see. Go down to the Visitor Center, and be sure to do the Elk and Buffalo range. There is a lot bigger buffalo farm further down toward the southern part of LBL. Another site, the Homestead is a interesting stop.
Further out, you can go see Superman at Metropolis. Considering the weather so far this year, might be a good idea to plan for some cool to cold evenings.