Hi there,
I have problems with my left arm on and off which also involves parts of my hand, as well as problems with my lower back with are mentioned plenty on this site !! As I have a background in science / pharma industry I understand what you are talking about, as I have always taken a keen interest in my own scans and any treatment.
One : You are not being a wuss, nerve pain is one of the most difficult sorts of pain to treat and can be nasty. It is not easily treated by normal pain killers, that's why they tried you on low dose amitrptiline, they use it for nerve pain at a dose way lower than it is of use as an antidepressant. I have tried it and I didn't get on with it, it does have a lot of side effects, which even at a low dose affected me a lot ( hot sweats, like having flu ), but it works for some people ! Other nerve pain meds used are pregabalin and gabapentin, you'll find plenty of chatter on here about those too, can be good, I had it down as both the wonder pill and the pill from hell, and have tried both of them but in the end weaned myself off as had long term effects on my congnitive function that even 5 months after stopping it are affecting me. some people like it more than others.
From a personal perspective I was 19 and at Uni when one morning I locked my neck whilst getting ready for lectures, and was left shoulder blade area that felt like a dagger had beeen plunged into it. It seems to be a weak spot ever since, I am now 41. In the last 10 years I have recurring problems with my left arm and nerve pain. At it's worst a few years ago my whole arm felt have and numb, the pain went into my little finger and rin finger and radiated into my thumb, and my hand clawed. They thought it was my ulnar nerve and sent me for tests, but that was negative. I saw a shoulder specialist and he said there was nothing wrong with shoulder. In the end the pain clinic dr I saw for my lower back offered to give me an epidural of steroid into the top par of my spine, and this did significantly reduce the pain and increase the mobility from shoulder blade thru to my fingers, I have only had it done the once but it really helped.
It sounds like they know you have impingement on your nerve, and to my reckoning so long as that nerve is irritated you will bet pain and symptoms and poss. numbness. I have tingling in my outer fingers right now, but they have been worse !!
I think you need a specialist opinion as to whether it is operable, if that means no pills as they all have poor side effect profiles !. You will not hurt it by trying to sue it, in fact if you avoid using it for any length of time it may get weaker and you may lose mroe function over time ( what I get told with my back all the time !!)....good luck, hope you get a good resolution. I raraely get more than 3/4 hrs sleep a night due to nerve pain and back pain, and I locked my neck and caused a flare up of my left arm taking a photograph of a Typhoon at Southport Air Show a month or so ago, I slepy an hour here and another hour there for 2 weeks until started to settle. If I lie on that side still though I wake up and cannot move my left arm. I think that the problems I have with mine were masked by my taking gabapentin / pregabalin for nerve pain assoc'd with my lower back problems, and now I ma off those meds its open season on any nerve pain !! Good Luck