I have done this. We left after work, and drove all night. We'd planned to stop in Jacksonville, spend a short night, and have a really short drive in the AM, but when we got to Jacksonville, all the hotels were either booked, or well over $100 a night. So not worth it to roust out sleeping kids in the middle of the night and then only spend 5 hours in bed. We drove on to Disney, slept in the
WalMart parking lot for a couple hours, and woke up with the dawn.
We took 33S to 77 to picking up 26S in Columbia, SC, then onto 95. I prefer the 33S route over taking 23 out of town... I go to the mountains of VA pretty often (was just there last weekend!) and it's a better ride, and you pick up 77 a lot faster. Driving in the mountains takes a little concentration - I don't think I'd want that to be what I was doing in the middle of the night, but it's the beginning of the trip (first 5 hours anyway), and the rest is breezy.
We had a car with a DVD player and wireless headsets for the kids - they watched movies, we listened to music. When it got dark, and late, we stopped, just like for bedtime, and everyone brushed their teeth and put on PJ's and made their little nests and were OUT. Of course, they are good sleepers.
As a matter of fact, the best memory is of the 7 year old not waking up until we were at the McDonald's drive thru, in Orlando on 104, the following morning - she had passed out at about 10, in the far back third row, and literally didn't pop up until she smelled McDonalds.
ALSO --- we were staying at OKW. We had the luxury of getting there VERY early - so early the room wasn't ready, so we just went to the pool. We didn't feel the need to run to the park - they have locker rooms and showers and everything t here. We swam and baked and napped a little, and in the early afternoon, after our villa was ready, we showered, unloaded the car and headed to MK. It was a great trip.
And yeah. The ride home SuuuuUUUHhhHHHHUuuuucked. It rained the WHOLE WAY.