Typing is one of the most painful TOS related activities I can think of. I got better after surgery to the point where I could actually type comfortably for long periods of time but my left hand has become recompressed recently and so I am typing this with one hand! I used to be a computer programmer but I had to give that up. Having pinched nerves sucks!

Now here is my advice, find a surgeon and find a surgeon fast. Waiting and "healing" won't do anything if you genuinely have TOS because there is nothing to heal. You have a structural abnormality that needs fixing. PT may work as well but I've wasted 1.5 years on that noise for only tears and lost time. I also rested for 8+ months. I found that setting up appointments with Drs in the states was easy (I live outside the USA) as I just needed to phone up their office and I didn't even need a referral.

After surgery I was able to do things I had lost the ability to do like holding a fork with my thumbs or clicking on a mouse.