Can you work the press HS on paralettes? I've done this before for wall presses or eccentric press HS.
You are only as strong as your weakest link which is your wrists.
For now, I have been staying away from the tuck planche work since my wrists still aren't ready for it, I think, nor am I strong enough to worry about. Until they are (which means working a lot of extended frogstand, HS walking, etc), I'll just focus on ring strength.