I don't know if it will help you against the tinitis but when I'm in the woods I will spend small amounts of time with my yes closed. (And no I don't ever do it while standing on a tree stand platform)

I do this for several reasons. 1 is meditation. I meditate nearly every day and it is a period where I breath and try to return my mind, body and soul to a warm relaxed feeling - a fresh start. Once I am there I can pray. In the woods I believe that I can hear better and think clearly to decide what it is that I am hearing.

It may sound a little backwards but maybe giving your eyes a rest can help. Sounds like you are in a position where it wouldn't hurt to atleast give it a try.