There is plenty for nut free eaters even at CS but you really have to check ingredients carefully. This year WDW has switched to multi-grain buns and pizza crusts. These have sunflower seeds which most nut allergy people are told to avoid and a cross contam warning so that made things much more difficult than in years past when pizza was our easy go to food. WDW now has lots of gluten free free foods they use for all allergies (at least one CS per park will have gluten free buns, Amy's gluten free pizza, and a safe mac and cheese). Personally I don't like the gluten free rolls but that was usually the only safe bread available. In the Main Street Bakery they have a whole shelf with allergy safe snacks and that was a great place for me to stock up with my snack credits.