We have stayed at the Branson KOA and would again. They do have pull thrus, and premium pull thrus if you want things like large patios and furniture. Close to the strip makes getting around to the shows a little easier, although traffic should not be bad that time of year.
Taxis are available, but I have never used them so can't comment on them. Showrooms are not close together so some form of transportation is a must, bad knees or not. But using your toad would be more convenient as you may want to sight see a little, or shop at the old downtown area or the newer strip shopping (including Bass Pro Shops) along the river.
There are shows for all interest. Just too many to comment on. Google Branson shows and look at all the various ones available. Have not been to a bad one. And name entertainers are frequently in town for short stays at any given time.