Question: Can BAT be done with a deaf dog?

BAT (and 'regular' clicker training) can easily be adapted to use with a deaf dog. Just use a hand flash (5-fist-5 toward your dog) in place of the verbal marker or clicker. You may need a tactile (touch) signal to click when your dog is not looking at you.

With BAT, that means you'll be using the hand flash for stage 2 and 3 or set-ups and a tactile signal (like a touch to the tail or rump) in place of the clicker in stage 1.