Thanks everyone for your replies. Now there's many places on my list to visit. However, we're postponing our trip to the Smoky Mountains for a while, as they've had 11 inches of rain (according to one estimate) in the last couple weeks, and the forecast is rain again next week.

Several of the roads in and around the park are washed out or temporarily closed. We just couldn't see hiking and camping in the mud and rain.
We are going to take a day trip to the Appleton Museum in Ocala tomorrow though. If I can figure out a reasonable way to compile the information provided here and elsewhere, I'll let you know.
Thanks again.