First off, I am not a doctor. I am not familiar with your condition.

But IMHO: I would do what is necessary to take care of and repair your body first. You can't hunt or shoot if your body is not in the physical condition for it.

I have a heart murmur-mitral valve prolapse. On occasion my heart will remind me that if I don't take care of it, it won't take care of me. And that will pretty much take care of any future hunting! So I do what is necessary to keep the heart happy.

Again, I am not a doc; but if I were in your shoes, I would get your shoulder taken care of now. The range will be there waiting for you in the fall.

Best of luck with your decision.
~Robert