Do you have a vet college near you? I ask because sometimes they can help when other vets are just not sure of what it might be. Maybe you can give him some smaller meals a couple of times a day to see if that helps. Sometimes when dogs eat to much at one meal it could give them loose stools. I am not certain but 11 months is kind of young for diabetes but I dont know everything about diabetes. Until you can get to the bottom of what is going on, I would limit his treats to the bare minimum or knock them out completely. Just his food, to see if it might be something in the treats. Keeping a journal is a good idea.