Shoulder exercises like handstand push-ups?

Every kind of shoulder press I’ve ever done has given me impingement within about 3 sessions. The only exercise that has felt good and not given me joint problems is handstand push-ups against the wall - which I only did whilst messing around with my calisthenics friend on holidays. I can only do a couple of them and they’re not really doable in my gym - is there any presses or variations like this kind of motion that anyone can think of? It feels more natural for me and agrees with my shoulders more