We traveled down to Florida in Feb (without a MH) on I-40 and it was a beautiful ride; had a nice sunny few days of clear roads. On our return trip N, we had purchased our MH planning to head up I-75 pulling our car on a rented trailer. Ended up having to take it through Cumberland Gap (I-40, I-81, and US 25 up to Corbin KY. Although this was not our plan, we managed better than we thought we would up and down the hills, through tunnels and saw some great scenery. Since we were new at this car towing and MH driving and managed well, I am sure you will be fine! Safe travels! BTW, we have stayed at Army Corp of Engineer campgrounds in Tenn in the past and they were very nice and reasonable.
Looking for "dotted lines"