We've only stayed in the area twice. Once in Gatlinburg, once in Sevierville. There are a multitude of nice parks near either, many of which have been discussed here already.
My only recommendation, assuming you're there to take in the park, is stay in or near Gatlinburg. The traffic between Sevierville and the park entrance can be killer, adding hours to your day that have nothing to do with enjoying the park.
Jay & Peggy Monroe with Dolly
Can't take it with you - don't plan on leaving any behind
2016 Newmar London Aire 4553, Spartan chassis
Wrangler Unlimited toad