I just had a similar experience as I have tinnitus from a lifetime of exposure to loud music as a musician. It was suggested I have a tinnitus consultation and I did. They told me there is not much you can do about it except to the obvious like listen to music at a very low level when you are trying to sleep, run the tv or radio during the day, etc. This is kind of a distraction from the noise kind of thing.
The other suggestion was to consider hearing aids, open hole ones. They tend to not only help you hear, but they have a sound dampening mechanism built in that cuts off the tinnitus, sometimes in good cases completely. I'm doing research on the ones they suggested but they are wickedly expensive, like 1700 bucks each at a minimum. My health insurance won't cover them either.
I hope that is of some help!