My shoulder mobility is terrible generally and it feels the least robust part of my body by a long way with past injuries. I have no confidence in putting meaningful weight on the bar and pressing it at this point in time. Risk/reward feels low.
Obv there's no direct replacement but I read in a couple of places on forums that is Wendler's offered alternative if none of the presses are a go'er. It doesn't really make sense to me though.
My shoulders are absolutely f**ked but to be honest it's all the more reason to train them and maintain strength, mobility and flexibility.
If it's a genuine injury then obviously you have no choice but to make allowances but honestly, even it means doing insanely light weights you have to try to do the movements to the best of your ability.
I do lots of light back work which I find helps a lot. It has to be light because you need to be doing pull downs and really getting the squeeze right down to what would be the starting position for an over head press.
For shoulders try reverse pec dec if you can. It's great for getting that stretch and slowly improving. For me the key when injured is to make sure everything is 100% perfect form. As soon as the form starts to go that's when you're no longer strengthening the supporting muscles and you're risking further injury.
I'll bow down to the 'experts' but narrow grip press seems absolutely ridiculous as a shoulder exercise. I can't think f many worse positions to put your shoulders in to. If mobility ios your problem then it'll help but not as much as working on your mobility.
All a narrow press will do is contract things even further and make you even tighter. You'll be able to press more weight because you're recruiting lot's of chest so you're also pressing more weight and further risking injury.
Try doing 8 weeks of shoulder press on a machine but with ridiculously light weight. Think of it more as a stretching exercise than a weight lifting exercise and you should see some mobility improvements.
Again if it's a genuine injury rather than just tightness then none of the above applies. Actually some of it does. If it's a genuine injury the last thing you want is those narrow grip presses.....