This is my favorite tent camping location. The tent camping spots are in the woods and much further away from each other than any other tent camping location, that I know of, on Long Island.
Don't be discouraged when you pull in and see nothing but flat fields with campers. The tent spots are kind of hidden along the perimeter.
They have a playground, a Picnic BBQ area, bathrooms/ showers. Ane the county offices can make or renew green key cards.
The only down side is there are no reservations for the tent camping spots. But it's pretty rare for EVERY site to be filled up. You might have to walk a mile or so to the bathrooms for the further spots that are usually empty, but you'll most likely get a spot.