Well, you could make part of your trip to Cave City, KY and visit Mammoth Cave. This place is a pretty big tourist trap area, lots to do. Visit Mammoth Cave Canoe and Kayak
for kayak/canoeing on the Green River. Owned by good friends of mine Becky and Larry. Tell them I sent you. Their son owns a really nice zipline business there. There are a lot of campgrounds in the area. For the kids, there's a Jellystone right there in Cave City.
Another good place in Kentucky/Tennessee is the Land Between the Lakes area in Western Kentucky. Lots of nature trails, lakes, hiking and camping. Beautiful area also.