There is a facebook page called "Deaf Dogs Rock" and you can ask questions and what not. I've seen several postings with pit bull types on there that are deaf.
It's pretty amazing how smart these dogs are. We have a deaf one and we didn't even know she was deaf when we got her! Its funny too because I remember looking at dogs at the shelter and every once in awhile I would see a "deaf" one and I would think "no way I could deal with that." Now I deal with it and she is a great dog!!!! Sometimes people think they will be more likely to bite because they are easy to startle, this has not been the case for us AT ALL. She is not aggressive in the least and loves everybody that comes to the house, very friendly.
The upside is that they don't get scared on the 4th of July and you can shoot a firearm with them standing by your side and it won't bother them in the least!

At least you know up front that she is deaf and she is young, so you can give her a good training foundation. Thanks for giving her a chance!