Regular, vigorous exercise will help tremendously.
I'm talking about really pushing your body regularly. Too many of us are content being sedentary. Lift weights, take up running, cycling, martial arts, swim, play a sport, etc - there's so much you can do. Don't limit yourself to a daily walk or going to the gym once a week, establish a schedule and find something that you enjoy and push your body so you sweat and hurt a little.
Exercising will benefit you in so many ways. You will feel less anxious and depressed, you will have more energy, you'll feel better about yourself and you'll distract yourself from thinking about your tinnitus, which in turn aids in your habituation.
Go out and have fun - make sure you socialize, stay in contact with friends and make efforts to meet new people.
Find some new hobbies and be creative: paint, draw, do pottery, write poetry, create videos or digital art, start a blog, etc - whatever floats your boat and keeps your attention. Spend time learning a new skill, this will also aid in your habituation and will help with anxiety.
Build a support network: friends, family, professional therapists - find people you can confide in and turn to when you are feeling down or anxious. I've been open with my friends and family with my struggles and even though it was hard for them to grasp the severity of my condition at the time, especially when I had hyperacusis, with time they came around and were very understand and helpful. My friends were especially good to me when my hyperacusis was bad because they would actually look out for me if we ended up somewhere super loud, it took a lot of the anxiety away.
I think gaming can be quite useful also. I don't game too much anymore, but I did find it useful as a distraction. In my specific case I would play CS:GO and that would immediately distract me from my tinnitus and any anxiety I had because when you're in game you need to perform and work together with a team in order to win. This applies to so many games now. Obviously it's not healthy to just sit around and game all day, but I don't doubt it's ability to engage you cognitively. Moderation is key.
In my case exercise has been the best thing for my anxiety. I lift 3 or 4 times a week at the gym, run 10-30km a week, do circuit training, mix in some kettlebells, go running in the mountains and occasionally compete in some form of half marathon or obstacle type run. I feel tremendous when I keep a regular schedule going, and I can immediately feel the difference when I stop and get lazy. I get anxious, I feel more down and I lose energy.
Anyway, best of luck. Try to get off the benzodiazepines. GABAergic drugs can be useful but they are never the long term solution and dependency is rough.