Been a couple weeks since this question, I just want to add my 2 cents.
I use Clip Studio Paint but I encountered this difficulty as well. The solution for me is to use "Auto Actions", I'm sure there's a similar feature (may be called differently) in Photoshop! My Auto Action is: "Hide Current Layer" and "Create New Layer", and I set it to a keyboard shortcut of my choosing (Ctrl+Alt+L).
I did the same as what Jetlixarts suggested, where LoA is snapped to the left side of my screen and CSP in on the right. Easier if you have dual monitors. Then I let LoA go through the pose changes every 30 seconds, and I only need to press my shortcut without needing to switch tabs and click a bunch of stuff.
I hope this helps someone!