If your LO has an oat allergy

LSU628

what do you do for finger foods? DS had a milk, oat, strawberry and pineapple allergy. That pretty much knocks out the popular first finger foods like puffs, cheerios, and the yogurt melts. Right now we're doing the organic mum mums (no dairy) and the rice cakes from Happy Bellies. I've given him peas and black beans, but he seems to have a hard time with them since his pincer grip isn't very good right now.