People do it all the time, but I would not. Your most difficult drive will be between Sevierville and Maryville. That section is sorta narrow with a lot of curves, but it's not bad. After that it's an easy drive through the small towns. Watch the speed limits around Benton Tennessee.
But why? Unless you have a stop in mind I would probably just hit the interstate out of Sevierville and stay on it. It will not save much time on 411 and my choice is cruise control on the interstate, especially with that kind of rig.