@erythro A few folks on here have given you some solid advice, but something I didn’t see at a quick glance:
You’re coming off a rotator cuff injury! Did you see an orthopedist? How about a PT?
If you find that, post injury, you have lost a drastic amount of pressing strength, I would strongly advise you to go see a PT just to ensure that there isn’t something else that you’re missing. For context: a while back, I had an inguinal hernia and needed surgery to repair it. Six weeks after my surgery, I was cleared for exercise again, and I f’ed up my shoulder doing push-ups. Push ups!
Go see a PT. Tell them what your goals are, and let them help you work up to the point where you can chase them without fear of re-injuring yourself.