Can't help with one with a pool. We don't have kids and always stay at the Wagon trail campground
. It's a full hookup private campground with more of a state park feel. It is way up toward the top of the county, away from most of the development. You can walk to the lodge of the same name (not the same ownership) for a nice restaurant, a great bakery and boat rentals.
Be sure to visit Cave Point county park. It's right next store to Whitefish Dunes state park. Wagon trail is close to Newport state park. There's some nice walking trails there, some leading to very private "beach" areas.