I had rotator cuff surgery in March of 2018 and was back on the bike much faster than I was supposed to. Full recovery took a really long time but in the end, my shoulder was better than new.
I just broke the scapula and clavicle on the same shoulder 3 months ago (along with 5 ribs, trochanter, humerus, and elbow
I had to get the weight off the bars, so, I put a Nitto Moustache bar on giving me a very upright position. The frame is a flexible steel one and 650B tires at 45 psi. I wish I could say it is fun. But the PT and Surgeon are amazed with my progress. So, I would say push it a little but listen to your medical people. I think aerobic activity helps the healing process. The ideal for you would be a recumbent trainer indoors. That also helped me last time