My DH is Lactose intolerant and he loves going to Disney. It is one of the best places where they can accomodate his dietary needs. All of the resorts sell Silk Soy Milk, I have never seen Lactaid. We usually buy some Lactaid and leave that in the room for him and he gets the soy if he needs it anywhere else. All of the table service resturants can offer you Tofutti or Rice Dream Ice Cream. DH prefers Tofutti, says the other has an after taste. You can also get an ice cream sunade at the ice cream place at pop century next to the food court or in MK at the Ice Cream palor. They both have the Tofutti and Rice Dream. I have also read that the Dole Whips are dairy free, DH is going to try them on the next trip!
Hope this helps. Let me know if you have any other questions or need help!
PS - If you have table service reservations, just call Dining or tell them when you check in you have a dietary need. The chef will come to the table and tell you how they can make what you want without diary. If it is a buffet, they will walk you around the buffet and tell you what you can and can't eat.