I dont know much about the particular issue you have, but I also had a nagging shoulder injury that bothered me for over a year. It got when an overenthusiastic student tweaked it like hell while I was showing him an armbar variation from the mount. Anyway, it didnt seem like a big deal, but it just never got better...finally started to really bother me: not the pain per se, but the fact that it just never stopped. Tried everything....RICE...meds...PT...nothing helped, and some of it actually caused a decrease in my ROM.
Finally, I went to an ortho, and this is my point: He explained what the problem was and basically told me if I wanted it to get better surgery was my best option. I needed an acrominioplasty on the right side. So I faced some of the same issues I think you are dealing with. I asked alot of questions, of him and another ortho (yep, I asked for a second opinion) and the second guy said that the first guy was THE MAN for this surgery...so I went back to him and told him I didnt care where the scar went i just wanted it to FIXED, please.
So I got the surgery, and everything went smooth as silk. Hell, I almost want to get my left one done, post surgery I have more flexibiltty and stability in my right one than i have in my left one . And the scar is hardly noticeable even though it's right up front and is about 2 1/2 " long.
I just dont think HGH will help that type of tear...and if it did I'm thinking you would have to take quite a bit for many months. Of course, you could try it and then if it doesnt work go for the surgery, worse case is you'd be out a few bucks...well, maybe more than a few

hopefullyy one of the guys with more knowledge of HGH will chime in here and answer that question definitively for you. I hope you the best.
Best regards,
Jmills