We drove down to WDW from Boston last March.
It was non stop and easier than I thought it would be for the 3 of us; me, my wife and 3 year old daughter. Our thing was to keep driving and stopping only for gas, bathroom breaks and switching drivers every 3-4 hours.
You'll have an easier trip because you don't have to drive through NYC and Washington D.C. areas.
The following is a description of the trip,
The Trip
Stopped on the way to WDW:
212, 395, 661, 870 ,1080, 1331
Driving around WDW: 83
Boston to Walt Disney World 1:30 pm
Boston to New Jersey 212 6:00 pm
N J to Aberdeen MD 395 9:07 pm
MD to Rocky Mt NC 661 1:36 am
NC to Florence SC 870 4:40 am
SC to S Newport GA 1,080 7:58 am
GA to WDW 1,331 12:00 pm
Started, Friday, 3/26 1 pm
Finished, Saturday, 3/27 12pm
A 23 hr trip with 5 stops
76 gallons $131 17.51 mpg
Stopped on the way home :
1,530,1,708 1,882, 2,063, 2,358,
2,539, 2,776
Walt Disney World to Boston 11:00 am
WDW to St Augustine FL 116 12:44 pm
FL to Savanah GA 294 3:55 pm
GA to Florence SC 468 6:22 pm
SC to Battleboro NC 649 9:30 pm
NC to Aberdeen MD 944 2:17 am
MD to Bloomfield NJ 1125 5:30 am
NJ to Quincy MA 1362 9:30 am
Started, Friday, 4/02 11 am
Finished, Sat, 4/03 9:30 am
A 22 1/2 hr trip with 6 stops
81 gallons $126 17.58 mpg