Hi Hobie, we took our Leader Dog puppy to Disney in April of 09. We stayed at Jambo House. She was only 4 months old at the time. If I was to do it again, I would stay at SSR, or another DVC resort that you could walk out your door and be in the outdoors. Since I had to take the puppy from the room to oudoors via hallways and elevators, I carried her a lot to avoid accidents. Member services was very accommodating, as well as the all of the cast members at the resort. I just made sure I picked up after her - and all was well. Not too many places to go though at AKL if you know what I mean. We hung out by the pool too. One day we went over to the dog run at Fort Wilderness just to give her a break, because so many people there did not understand guide dog training and handled her without asking. A little boy even walked right up to her and squirted her in the face with a squirt gun. It was nice to get her over to Fort Wilderness, take off her bandana and let her act like a dog for a while. We both needed the break!
Also, to the PP, I think it is pretty far-fetched that someone would bring a dog to the resort and pretend that they are a service dog. I have an ID card with the puppy number on it which matches the puppy tag. That tag is turned in with the puppy. It can't be worn on another dog.
Best part of the trip: when the barbershop quartet sang "Cruella Deville" to her when my son was getting his haircut. I'll try to find a picture for you. Good luck to your family! Don't stress over it!!