Oh absolutely you can put a tent on a Full site.
They have sand pads too (although not as big as the Partial/Tent sites). The Fulls are loops 1600-1900 with 1600 probably being the closest to the pool and Meadow Trading Post area.
Sites in the 1632-1634 range are very close to the Comfort Station near 1500 which is the closest to the Pool. Those sites near the entrance to the 1600 loop (1601 and 1645) are close to the Comfort Station that is near the 1800 loop.
Have Fun!
Bama Ed
PS - I noticed you used the word "full" with a small "F"". The Fort has 4 levels of sites (Partial, Full, Preferred, Premium). Partials don't have sewer hook ups and the rest do. The Premiums don't have a sand pad - they are all concrete. Just want to make sure we all understand what you are asking about. With a tent, I don't think it matters if there is a sewer hookup....