When I talk with people about this injury, I usually tell them to bypass PT because it does not truly address the problem. The issue with a SH is that, since ligaments and tendons get poor blood flow, the injury is unable to heal on its own. And strengthening the muscles, as physio does, does not re-grow damaged ligament and tendon tissue. And from what I've seen, very few people believe that it works (including my doctor and my surgeon).
Since you say that you believe that your only 1-2 months away from a complete recovery (something I too kept telling myself when I was doing physio), I'd suggest simply speaking with a prolotherapist and letting him or her know about your situation.
I, like you, refused to believe that surgery was the only option, and fully believe that prolo is the only real alternative if not the only real solution to this problem.
WIth prolo, unlike physio or surgery, you actually regrow damaged tissue. In my opinion, I wish I had known about prolo sooner and bypassed physio completely. For me, and a few other people I've spoken with, it can be a waste of time and money.