There is a ton of articles on this site by Mike Robertson, Eric Cressey, Tony Gentilecore and more. Focus is on the shoulder, and there are a lot of rehab exercises and workouts that you can do to train your upperbody with a shoulder injury.
I know because I healed up my aging shoulder following their advice and canceled shoulder surgery. Shoulder is better than it has been in years.
Rubber bands, face pulls over head shrugs, rear deltoid raises, and so many more.
Tony Gentilecore suggested a 2 to 1 ratio of pulling to pushing for those that are having shoulder impingement problems. Ever since reading his article, I do 2 times the number of pulling to pushing exercises.
If I have some time, I'll dig up the old links and post them, but if you search on them, you can find them too.
This site is second to none for rehab, and what these guys unknowingly have done for me is the greatest gift I have received to my training, and shoulder health. If they did it for me, they can do it for you!