You would need to use recreation.gov. Cades Cove, Elkmont, and Smokemont would be able to accommodate you. Remember, no hookups or showers. Smokemont and Cades Cove have dump stations on site. For Elkmont, you need to go to Sugarlands Visitor Center.
2010 Triple-E Regency GT29DBS
2009 Heartland Bighorn 3385 RL
(On Permanent Site in N. Georgia)