Have been there on a few occasions, ABC
http://www.abc-branson.com/ is family friendly but a bit farther out of town. The KOA in Branson was also family friendly and closer to things in town
http://koa.com/campgrounds/branson/. We liked the Escapee park and you don't have to be a Escapee to stay there, less things for kids though and also close to town
https://www.escapees.com/parking/rai...ister-missouriof course there are others but these all would work for you.