The thing is, your dog does not know he is deaf, so he should respond quite well to training with hand signals. Hearing dogs can be trained that way, so yours should be no different.
Jack Russels are also quite intelligent, so that should also help.
Not to make light of it, but sometimes I wish our dog WAS deaf. We made the mistake of trying to stay in a motel a few weeks ago without taking her kennel, and with idiots stomping around above us in the middle of the night, and other such noises to set her off, we got almost no sleep, and had to cut our trip short!
Good luck with the new pup!