I have hearing "issues" as well, but opposite of yours. I hear everything...equally. In a crowded room, I hear everything at the same volume. It's extremely difficult for me to sort out one particular voice...even if that person is sitting right next to me.
Yikes! Have you been to an ENT or an audiologist?
In a sense, my hearing aids do (some what) the same thing. Background noise makes me crazy! It took me a while to learn to tone out the ceiling fans / motors on drink boxes / birds chirping, etc.
Do you have what I call "head noises"? The medical term is tinnitus. It's hard to describe but it's a constant buzzing or ringing. Most of the time I can ignore it. A bad sinus infection intensifies it. UGH!