I have a similar situation, only it has happened to me twice. About twenty years ago, I spontaneously lost all hearing in my right ear. Two MRI's, allergy tests, and a battery of other procedures later, my doctor told me that he could find no reason why I had suffered a loss of hearing. I had raced V-8 powered road racing cars since the mid-70's, but the interesting thing is that any hearing loss should have happened in my left ear (toward the outside of the car and exhaust dump). Approximatley nine months later, sitting in a Greek restaurant, just as spontaneously, my hearing re-appeared. Went back to the ear specialist the next week, and the hearing in my right ear was better than in my left, confirming the race car issue.
Fast forward to seven years ago, I developed a severe tinitis in the same right ear, without any reason. Not dive-related, no trauma, it just happened. Same process, same procedures (I'm getting to be an MRI pro), no allegies, nothing organic, no infections, nothing. Seven year later, it's still with me, ringing loud and clear, to the point that I am functionally deaf in my right ear (but at sound ranges not masked by the tinitis, the hearing in my right ear is fine). In my case, from what I understand, a hearing aid won't help, so what I find myself doing is positioning my body so that my left ear is always focused toward conversation, and sources of information, and that includes sitting on the correct side of a dive boat, so that I don't miss the pre-dive briefings.
I have no problem equalizing, and have never had a problem with virtigo or loss of balance. My recommendation is that if you can live with it, you can dive with it.
Cheers and good luck!