That's frustrating, I imagine you have tried to come up with solutions.
Hunting (depending on the type you do, might still be an option with a rest. Not sure going up a stand would be right with bad shoulders
Lower recoiling calibers (which you have probably looked into) with pistol grip stocks that are lightweight and with a shorter OAL would allow you to keep your arms closer tucked to your body. If you can handle 30/30 that opens you up to 6.5, 7mm-08, and a few others in the same or less recoil category that would go up to elk, (but you might not want to carry that long or hard).
Is surgery/replacements not an option?
