I love to drive. No issues going 12-14 hours per day and that includes towing. i would do this vs. having my wife drive for one hour . However, i would also think I would prioritize my destination first and foremost to minimize driving and more time to see different places. If Yellowstone is where you want to go and this is your only opportunity and 2 weeks is all you will ever have to make the trip i would do it. But like other posters have said there are many places to see between NC and Wyoming that will keep you out of the drivers seat longer. Another idea would be to fly. Have fun. Did you sell your TT?