Hi Traci,
The following resorts have studios with a kitchenette as well as villas with full kitchens:
Old Key West, Bay Lake Tower, Beach Club Villas, Boardwalk Inn Villas, Wilderness Lodge Villas, Animal Kingdom Lodge Jambo House, Animal Kingdom Lodge Kidani Village, and Saratoga Springs.
In addition:
At Fort Wilderness Resort, the cabins have full kitchens.
All Star-Music Resort has family suites with a kitchenette.
Art of Animation (opening in phases beginning end of May 2012) will have family suites with kitchenette.
Prepped food may be brought into the parks. There are a few
limitations such as no glass containers.
Also, I would strongly encourage you to contact the
Special Diets department. WDW has an exemplary program catering to guests visiting on special diets and especially for guests with food allergies!