there are not any campgrounds directly on the gulf that i am aware of. we have stayed at luxury rv resort which is about 3/4 mile north of the beach. it was really nice but had zero trees. (would not stay here in summer). we stayed the first of august at gulf state park and it was an extreamly nice campground for a state park. you also get free parking at the public beach with your stay. the entrance to the actual campground is about 1/2 mile north of the beach. we had a pull through site on it was very nice.
there are some high dollar campgrounds up on wolf bay but someone said they are class A only.