Its an ambitious itinerary and I am not sure you will have adequate time to do what you plan on doing in the same day you drive to a destination. It all depends on conditions and what your rig set up is. How fast are you comfortable with pulling or driving your rig and still keep you and your family safe? Contingency for blow outs and other mechanical problems? Things happen.
I live a few miles away from Anchor Down and can vouch that its a beautiful campground. You will want to stay there longer. It overlooks Douglas Lake and has a beautiful view of the Smokies. It would make a good base to tour the Sevierville/Pigeon Forge/ Gatlinburg area some other trip.
I think the most important thing would be to be flexible and be willing to change your itinerary if needed. Otherwise just go have a great time.