Is your desire to ride a bike for commuting around town or purely recreational?
As others have already suggested bike trails or areas with bike lanes might be best, avoid main roads and busy intersections.
I have experienced being hit by two different cars on my pushbike many years ago (not at the same time mind you lol).
I walked away from one of them and the other I was taken to hospital.
I also had a motorbike a few years back, didn't have any crashes but a couple of close calls where a motorist didn't see me. You have to develop at all times a situation awareness this applies to pushbikes too. A parked car up ahead suddenly becomes a u-turning car or the drivers door opens on you. Drivers do dumb things even when their engine is turned off.
Nearly home mentality can have people switch off, this also goes for those on motorbikes and pushbikes. Familiarity with roads and being nearly home can cause you to switch off and that's when accidents can happen, switching off situation awareness.
Being HOH or Deaf i think can give us an advantage on the road of being more visual.
We tend to use our eyes and process things through them more than our ears so i think we do tend to be more aware. However if wearing a hearing aid where everything is loud and could be very distracting and sap ones concentration. So i guess its up to the individual what they are comfortable with.
My worry about drivers today is people who are glued to their cellfone, checking a txt or a twitter etc. We have had plenty of examples in the news of drivers losing control and killing themselves while they were txting. I do not mean to bring this up to scare you. But it is a reality, not everyone does it but you have to be aware some drivers will not be paying attention because they are doing this or they quickly pull over to check a message and not properly look up ahead (this would be bad if you are riding against the traffic).
Other advice is to wear a bright top, stand out. Maybe pick a loud colour.
Someone also mentioned about having a velco deaf symbol on your clothing incase of being knocked out or unable to speak etc. I think this is a good idea. Some people with medical conditions have a bracelet for this sort of thing. Perhaps having an armband with a deaf symbol on it? (on both arms- incase you are laying on one side) or wrist band with DEAF Person written on it (on both wrists). If you are being put into crash recovery position they will see the band.
Putting it on the helmet wouldn't help if the helmet comes off and is out of sight in the event of being knocked down.
As for having a sign indicating you are deaf to traffic on the back of your bike or jacket, does have one drawback, some cretins to wanting to harass or scare you might do so at seeing the sign. But i guess the benefits outweigh a chance someone might do this. If this does happen pull over to the sidewalk where there might be other people and stop.
I don't mean to ramble but another tip could be learning to take evasive maneuvers on your bike. Basically get confident with your bike. This is something as a motorbike rider i had to learn too. Use some cones in an empty carpark. It may seem a waste of time but knowing you can swerve and keep in control may help you not freak out if you have to quickly avoid something- panic can have people do nothing. This would be useful in car door situations or having to ride through a narrow gap or avoid some glass on the road etc.