FWIW with my set up I average 50MPH operating each driving day. That includes from the departure that morning and fuel stops. My average fuel stop is 30 mins and have to stop every 180 miles with my tank size.
Beyond that there is a lot of driving with not a whole lot of time to enjoy the destination. If I read your post correctly you have one week to do all this. There is a lot between you and your destination. Travel is the destination.
However you plan this may be the most fun trip you have...barring any unforeseen circumstances.
I enjoy camping over setting up camping. YMMV. Personally its a lot of driving for the amount of time of enjoying it.
I am sure you will get more opinions to help you with your decision.