You will be very happy with the Ridge RV park. One of the newest in the area and has nice facilities and sites have some space to them so you don't feel like a sardine. Parkers Crossroads is a nice park also, we have stayed there also. Plan your time to hit Memphis after 9am. It's always busy so you might consider taking the south bypass 240...although that's busy also. Once you are through there Nashville is you next traffic nightmare. Time of day is critical again. If you stay in Nashville the parks on Music Valley Drive are all good. In Nashville go to the Hermitage, Andrew Jackson's home.
Nashville is approximately 3.5 hours from Sevierville. If you want to stop on that leg stay in Crossville at Deer Run. Wonderful park. The State park there, Cumberland Mountain, is good too and some sites have full hookup. It has a restaurant on site if so inclined to take a break from cooking.
I live in the Sevierville/ Pigeon Forge/ Dandridge area so if you have any questions about the area just ask. Moved here 7 years ago and LOVE it.