Pcsx bios location?

For state save files, yup. Here’s where you can find them.

Actually upon closer inspection, that’s the directory for his custom rom, where he made individual emulator directories. By default, you’ll find it here:

/home/cpi/apps/emulators/.pcsx/sstates.

It all depends on which image you’re using.

You shouldn’t need to relocate them anywhere. It’s just a matter of compatibility, ie whether or not it will crash, if you’re using a different emulator to what you used when making it.
I guess, if you wanted, try switching back to the HLE stock bios, loading your SAVE GAME, then making a STATE SAVE. Then go into the menu, change back to the proper bios, restart, and try and load the state save.

Out of interest @civvy, which game in particular were you trying to get running using the bios?