I live less than an hour from Gatlinburg. It is overdeveloped, I suggest Townsend, TN which is nearby and has a country feel to it. Although the park and the trails in it are awesome. Checkout New Found Gap at sunset and Cades Cove. Also, clingmans dome is awesome on a clear day, you can see so far.
If you go during the summer, you can go tubing. The water is crystal clear in many streams.
There is also Dollywood in nearby Pigeon Forge (whole town is like a carnival), if you are in to theme parks.