Our DS has a milk and nut allergy. Things that are safe around the parks include: hamburgers and the buns, hot dogs and buns, French Fries, Strawberry fruit bars and Itzakadoozie Cool Creations (from ice cream carts), fresh fruit, vanilla and chocolate tofutti frozen dessert (available from Main Street cone shop MK and also at counter service ice cream shops that serve hard scooped ice cream: Liberty Inn, Epcot, Hollywood Scoops MGM, and Dino Bite Snack in AK), Baked ptato, large pretzels, Turkey drumsticks, and frozen lemonades. He was also able to eat chicken strips around the parks. If you have a priority seating call ahead and speak to the chef. For Donald's breakfastsaurus and Le Cellier the chefs had safe brownies available (only with advance notice) and Chef Mickey's gave him a huge bowl of Tofutti and his own new bottle of Hershey's syrup. The chef at Kona made him milk free pancakes.
Hope this helps.