We love the drive as well. Sometimes we stop a little shy of half way down, in Calhoun, GA (We are from Indianapolis) to spend a night with my brother, sis in law and niece. But my favorite was last time, leaving the house in the dark at 3 am, taking minimal stops, checking in to Wilderness Lodge Villas, then getting on the boat to the Magic Kingdom before 8pm for an EMH night! (Ideally it is a 15 hour trip for us, but it always takes about 17 hours with traffic in Nashville!)
Although the day is tiring, I think of it as a long work day, and it actually seems a little easier to not stop for the night to unpack etc!
We love seeing the states go by too!