Hm... finger foods are the way to go alicat. Bite-sized finger foods. Then it won't be a problem. Nothing to be embarrassed, open mouth, pop in a bite, chew with mouth closed.... Nothing can/will go wrong that way! Bring a tiny lunch bag, a cute one?
Like this!
Pack little bentos. Heart shaped carrots, flower shaped carrots! tiny rice balls! Yeaaah! but yeah, bite-sized foods. tiny little cut out sandwiches work too!