Well... it looks like PSX is probably a no-go for this laptop. I was hoping after what @dankcushions said about the difference between Beetle and Rearmed that I'd have better performance with Beetle, but the GPU on this thing must be pretty terrible since the performance in Beetle is absolutely terrible and the game speed is about half of what it should be or less (on Symphony of the Night). I'm actually very close to getting good performance out of Rearmed. The gameplay itself seems fine, but I can't seem to get rid of the audio stutter no matter what I do. Shame since everything else seems to be running so well now.
Oh well. This was still fun and now I've got another piece of equipment set up with RetroPie as a backup for my work and it greatly outperforms the Pi Zero in any case. :)