Most of the sites are small. It is an older park. I would just call the park and ask. I have been there twice but never noticed the bigger sites much.
If there's nothing there to fit, go up to Big South Fork. It's a Federal Recreation area, and it will be half price. Bandy Creek campground is very nice. Four of the loops have little loops at the back with really big sites.
Single empty-nester in Middle TN, sometimes with a friend or grandchild on board