If you can get a couple of nights at LeConte Lodge, it's well worth it. The "slots" trade like commodities, but no one ever gives their's up. This is a rustic lodge atop Mt. LeConte. It has a limited number of folks, no electicity, and supplies come in by Llama. You hike up, they provide commissary cooking and blankets, and you literally sleep on top of the world (by Tennessee standards).

http://www.leconte-lodge.com/home.html

No 'swimmin' hole' (or running water for that matter), but it's got quite a view and will redefine your definition of silence.

Last I checked (which was years ago), folks posted their nights for sale at The Happy Hiker (at Traffic Light #10 in Gatlinburg)