Not sure where you are in PA, Jason...and now that you told on your big buck, you're not going to say for sure!
Thing is that a buddy of mine had dislocated his shoulder so often after major injury in HS football that a good many years ago, they went in, opened him up, drill holes in his shoulder, threaded his over-stretched tendons thru the holes, tied big knots and stapled the tendons to the back side of his shoulder and then sewed him up. He shot handguns for all that fall, small game and all.
Just seems odd that wherever you are, they won't touch your situation. I'd be hunting down a 2nd opinion.
Good luck with the rehab! Good luck with that big ole hoss buck!
Prayers for healing and discernment!