Hi. We're doing the same thing and we're planning on stopping in Orangeburg SC. I think that may be too far for you - it will be about 10-11 hours for us from PA.
Maybe you could look at Charlotte. That's where 81 and 77 meet. Mapquest your town to Charlotte and see the time/hours it would take and see if that works for you. There's a TON of hotels there.
PP: 81 and 77 meet 30 miles in VA above the NC line. Charlotte is roughly NC mile markers 1 - 13. The NC/VA line is mile marker 104 on 77N, then another 30 miles to the 81/77 point. That junction of 81 and 77 is over 100 miles above Charlotte.
(you may be confusing the 85/77 intersection, which is at Charlotte, exit 13 on 77 South.)
OP: The best info I can offer is that from Statesville, NC to Fall River, MA is @ 790 miles. From Statesville, NC to WDW is about 580 miles.
Statesville is about 38 miles North of Charlotte.
Now that is rough mileage from Fall River, MA to WDW. If you need more specific mileage info on the NC to WDW part taking 77-26-95-4 route, just PM me. On your drive, I think you could stop anywhere between Roanoke, VA and Rock Hill, SC. Charlotte does have tons of hotels, but traffic is not good during rush hours on weekdays. Rock Hill is just over the NC/SC line. From there to WDW is 530 miles. It's past Charlotte, so traffic should be much less of a problem when you get ready to leave the next day. To me, it would be worth another 15 miles to get clear of Charlotte to start off the next day.