I have the same problem here 2! ringing in my ears without my hearing aids on and dizzyness with hearing aids on (I'm careful not to turn my volume too high)
I'm not deaf, but I do have constant tinnitus. It can appear louder and softer depending on its mood. When having an Audiogram, the Audiologist has to change the tone so that it pulses otherwise I can't hear certain ones. My sister is deaf, but she has never mentioned having it, I will have to ask her the next time that I see her, though.