I just did a quick search on the internet for campgrounds in Branson, Missouri and had several returns for Good Sam campgrounds. I looked at (almost) all of their web sites and, every one of them looked like an OK place to stay. (of course, we use Good Sam campgrounds a lot anyway). All of them appear to be within close proximity of Branson, and I'm kind of druling now, as now I'm getting an itch to want to visit every one of them! I was in Branson a few times in my life (many moons ago stayed in a cabin, and wouldn't mind going back).
Anyway, I think any one of these on this site would be worth exploring. I would advise, if you have a specific date in mind, to get a reservation in NOW if they are taking them!
Click here.