Petit Jean SP is nice. We've been through there a few times. My favorite place is the campground at Crater of the Diamonds SP but that is further South.
If tent camping or small trailer camping Compton Ridge campground in Branson is nice. I haven't been there since the new owners took over but the camp sites are all away from the highway. We otherwise stay at the Wilderness across the street with our camper now days. There are tons of campgrounds at Branson that I've never been to before though.