I just wanted to add something you might want to consider for your reservations. My son has extremely severe dairy allergies (and peanuts and shellfish) and we never eat in any restaurants - EXCEPT at Disney World, so that's our yearly vacation. Just wanted to give you a baseline for our extremely low risk-threshhold.
The thing is - not all Disney restaurants are created equally. There are Disney owned and operated restaurants and then there are "operating participants." The O.P. restaurants appear on the Disney site and aren't flagged, but they do not go through the same training as the Disney owned and operated restaurants. You will hear plenty of people that have had fantastic experiences at the O.P. restaurants, but it seems to me when I hear of the rare bad case, it's always at these. As a result, we only eat at the Disney ones.
At Epcot, all the restaurants in Mexico, China, Italy, Japan, Morocco, and France are operating participants - so Via Napoli & Teppan Edo are both not Disney owned and operated. Again - you'll hear from a lot of people that love these two restaurants, but I thought you should know so you can make your own decision. We've always stuck to Rose & Crown (fish and chips are dairy free), Canada, or Coral Reef.
I'm a bit off your timetable, but we go every year - so my last visit was summer 2013. We go to 1900 every year and have always loved it (especially if Chef TJ is really back at dinner). Be aware at the buffets that some chefs will try to walk you through the buffet and say this is okay and this isn't - which if fine depending on your level of allergy. My son's is too severe, so we can't risk the cross contamination. You just need to tell them how bad your son's allergy is and ask if they can prepare his food (or yours in this case) in the back, so there's no risk. Always been a ton of options there.
BOG has always been great as well.
I haven't eaten at the others. Besides Rose & Crown, BOG, and 1900 - Our best options have been:
50's Diner - they have a separate blender for "milkshakes" using Tofutti. They can also do fried chicken.
Kona Grill/Polynesian - They've always had Udi's rolls and Earth Balance butter for before the meal. They also bring a make your own sundae at the end with safe cotton candy, sprinkles, and syrup.
New for us this year, but I'm hearing good things about Kouzzina's.
For counter service, the options are pretty standard stuff, but Pizza Planet has always been able to make a dairy free pizza.
Also, the ice cream palor on Main Street keeps Tofutti in the back. A manager will go and make it for you, so it's never near the dairy ice cream.
This will be new for us this year as well, but I can't wait to try the Allergy Carts at Animal Kingdom, which are supposed to have a lot of dairy free goodies for kids.
As several people have told you, just definitely make sure you get the allergy noted on your reservations. When you check in, they'll confirm you have the allergy in your group. Then when you sit, the waiter will know and tell you they're sending out the chef or you can just ask them to do so. The chefs have always been fantastic, and honestly, a single dairy allergy is easy for them compared to what so many people have. They have always asked what my son wanted - and while it's never been anything over the top, they've always been able to come up with a solid meal (salad, pasta, chicken, fish, etc.) Those lists are only the allergy specific brands, it doesn't include all the products that are just naturally dairy free.
Also - don't put too much stock into that restaurant will have that specific product. We've always found that the restaurants actual stock differs quite a bit - but that list is key to us knowing all the potential brands we might run into, so I can research any ones I'm not familar with before we go.
We leave next week, so if I find anything has changed, I'll let you know when we return. Hope you have a wonderful trip! Disney is truly the best place on earth for kids with allergies.