Looking for a place to park your RV? 

Long C Trails (Macon County: Area 5) has RV spaces
with electric and water hookups.

Deep Valley RV Park (Overton County) has 28 RV spaces
with electric and water.  Ten spaces also have sewer connections.

As all RVer's know, Wal-Marts around the country welcome you to pull into their parking lot and rest.   Here are Wal-Marts in the area:

Lafayette, TN: Supercenter on TN 52.
Carthage, TN: Wal-Mart on TN 25.
Gallatin, TN: Supercenter on U.S. 31-E.
Franklin, KY (north of Portland, TN):  Supercenter on U.S. 31-W.

If you need additional places with hookups, you can search various online directories such as Woodall's.

http://www.woodalls.com/search/camp/