One of the big selling points for getting an integrally suppressed barrel is keep it a short as possible while still only needing 1 stamp. If you want something with 10" OAL then that is going to be a 2 tax stamp gun.
That's fine if that's what you want but I don't know that going "integral" is going to get you any advantage in that case? I'd just SBR the receiver, get a 5" threaded barrel made up and a 5" long suppressor of choice. Dead Air Mask HD would be a good choice!