I have problems with regular chcken, turkey , pork etc. BUT, I have found that if I use ground chicken, turkey, lamb or pork - and make little mini "sliders", then I have fewer problems. I mix ground meat, worchestershire sauce, tabasco sauce, about 1/2 cup non-fat milk powder and dried onion flakes. Then make small burgers and cook them in my toaster oven for about 25 minutes....Yum!
Try "Burger" meat from chicken and see if you can eat it. You still have to chew, but it is moister and more easily broken into small pieces.