Man, I live in Louisville but I don't do much... if it was me I'd eat dinner, catch a nap, let the pets poop and hit the road again.
Can't think of much I'd do with the pets, and I sure wouldn't leave them in the car in July. There's parks around, that sort of thing. The Mammoth Cave state park is maybe 2/3rds of the way between Louisville and Bowling Green. They got big caves there...