I agree with monkey with the exception of the route thru GA. I have lived, and RVed, in GA, SC, VA, and PA.
I would head up to Charlotte, get on I-77, then I-81 and follow it all the way to Harrisburg, PA. From there pick whatever suits your fancy. Using I-95 to be nearer FamCamps is sort of like slamming your hand in a car door just to save a couple of quarters.
The Fancy Gap portion of I-77 north of Charlotte into VA is not a big deal. 18 wheelers do it regularly. Three lanes near the top. Going down the other side is a bit curvy, but it's interstate curves. If you have a pac brake or trailer brake you will be fine. From about Roanoke, VA northbound the I-81 stretch thru VA is a little "hilly". VA hasn't come into the modern era of interstate travel so their speed limits are only 55 and 65.
If the schedule works out, there are a couple of nice CGs at the top of Fancy Gap and several more in Wytheville, VA. I have found that the selections of nice CGs from Roanoke northbound are limited. You can research CGs here: rvparkreviews.com
I would also suggest you visit the Amish area around Lancaster, PA.
