I would never alpha-roll my dogs. If I need them to "behave" in public or when I have company, I will use the Down-Stay command. They both feel comfortable with that command and it seems to calm them when they are in a stressful situation.
Although, with that said, both of my dogs will "offer" me their bellies for a good rub down!
Although, with that said, both of my dogs will "offer" me their bellies for a good rub down!