I'm giving another perspective. In a Class A, I think it's totally doable especially when you're young. A few years ago, we did one 12 day trip that way and it worked out fine with the 2 night stays in between the one nighters. The trip home will be the most difficult for the driver. To make it work:
1. Leave very early in the morning. Don't sleep in. Arrive at your next destination campground early in the afternoon about 3pm. Relax, have dinner, a cold beverage, let the kids play or go to the pool and go to sleep early. You won't feel so tired that way. 2. Consider subtracting one day from sightseeing and add it on the way home which would allow for a 2 night stay half way home for the driver to rest. I would recommend Oklahoma City. Visit the Oklahoma City National Memorial, Cowboy Museum, 45th Infantry Museum, Science Museum, Zoo, etc. With the heat you won't sweat, so be sure everyone drinks plenty of water. Go sightseeing in the morning or evening when it's cooler. Inside activities in the afternoons.