Sorry, I don't...but would be interested in hearing of places from others who have the allergy. DS is allergic, so last time we went we spoke to every chef before the meal to make sure everything he got was ok. We told the wait staff, and they told the chefs. They were great about it.
My husband has a serious peanut allergy, WDW is one of the few places he can enjoy baked goods with little worry. Most things are marked and you can always find out what oils and nut products are used.
School bread is nut free and one of our favorites, also at Kringla Bakeri check out the strawberry cream cake, it is great too!!
The schoolbread is fine, but it is made in the same place as things with nuts (I had something from Norway with either almonds or walnuts). I would ask depending upon the severity of the allergy.
Whenever we eat at any Disney restaurant, the chef always tells us that the baked goods are made at another location, and that they cannot guarantee any cross contamination. We always have my son avoid any unusual breads that might contain nuts.
My DD3 has peanut and tree nut allergies. When we booked our ADRs we mentioned this and they made sure it was noted on our ADRs. When we checked in for our ADR, the host/hostess made sure she got the Chef to come out to let us know which foods are okay for our DD3 to eat. They are very good about handling food allergies. Just mention it to the host/hostess when you check in for your ADR.
We have made multiple trips with this allergy and have had no problems whatsoever. Disney really is great about it. I was just wondering about the School Bread in general as I have had it with my Mom last year, but DS has never had it and I was thinking of getting it on our next trip.