I went to an audiologist a few years ago, but all he did was confirm the hearing loss, noted the frequencies at which I have a harder time hearing, and that the loss in the left ear is worse than in the right one. I am not sure what the doctor did for me, apart from confirming that I needed to take steps to mitigate further loss. Based only on other threads about ear pro, you might be able to get an audiologist to help insurance cover ear pro.
^^^This. But I still wear double ear pro, with the limited exception of if I'm hunting alone (no risk of hearing my buddy's rifle) and my suppressor makes it hearing safe. (But I often still have my Sordin muffs.) I don't shoot at indoor ranges anymore, and I won't shoot at the outdoor range next to anyone with a brake - even with double ear pro.
I haven't heard of anything that reduces tinnitus that I have confirmed (or that I believe) works. But I did stumble across something that can make it worse - daily aspirin, even at a low dose.
As mentioned above, you sort of have to live with it and make it your friend. To me the worst time is when it's completely quiet (outside of my head), like when trying to sleep. For me meditation helps getting to sleep.