Wouldn't it be a MAJOR hassle just storing all the ingredients needed just to cook in the first place?
Those fridges are pretty small, it's not like you could store a roast in there.
Even if you did cook one day in the room, what about the next day? If you are going to be running up to the grocery store each day, why not just take the family with you and hit the Golden Corral?
*tip -
All of the grocery stores in the immediate area of Downtown Disney like the Winn Dixie and Goodings are over priced. If you hit the PUBLIX which is a further drive, although the prices are better than at Winn Dixie and the PUBLIX is considerably cleaner, by the time you drive there you will have passed at least 10-12 places you could have just stopped to eat at!
A better idea would be just splurge and get a cabin or a condo. Do your grocery shopping ONE TIME and then take it all back to your condo/cabin, put it all away in a
normal sized full size fridge, and cook it in a real
normal sized oven.
The only thing your neighbors next door will have to complain about, is that you didn't invite them over to join you!