Here are three options (located in Nashville) for your consideration:
Brown County State Park electric only $23 - $30
Last Resort (RV Park &) Campground full hookups $35 - $45 (also avail. tent/cabin but cabins do not allow pets.
Westward Ho RV & Campground full hookups $35
Please visit the websites for details on rules and more information concerning price/ratings. There are other RV parks but these appear to be the best options. Be aware that we have NOT seen these sites in person and are only going on information available on the Internet!! You are responsible for your own choices.
NOTE: There are other RV parks in the area, these are just the closest!