I would focus on table service places. The chef will come out and speak with you personally and since they're generally preparing the food from raw ingredients there is a lot they can do.
You may want to ask Brenda Bennet specifically what the ingredients are in the top 8 free chicken strips. They are available at several places, but I don't if they would contain the gums. If they're safe, they would make a great go to food. The turkey legs might be safe. I don't deal with your allergies, but I seem to recall them having very few ingredients. If you want to do a breakfast buffet (like Chef Mickey's) I would speak with a chef ahead of time and check on the allergy-friendly mickey waffles. They are gluten free, dairy free, egg free, and I think soy free. My understanding is that they have a mix (I thought I heard it was a Bob's Red Mill mix), that they mix with apple juice, and use a dedicated waffle iron. If that is safe then you could make a nice meal of a waffle, some fruit, and maybe bacon. Liberty Tree Tavern was able to serve my DS some of the meats they serve, a mashed potato dish they make for people with allergies, and a gravy that he described as being made from the beef drippings and corn starch. Either way, the chefs do a lot to find something that will work.