> I find the pseudo-ness of the RNG infinitely resourceful in that regard

I can't remember how the ORIC BASIC does it but a cool property of LFSRs as PRNGs is that if you pick the right taps and length they must cycle through every possible number from 1 to (2^length)-1 exactly once, excluding zero. That's how the Wolfenstein "Fizzle Fade" effect worked - set up an LFSR long enough that every possible pixel can be visited once, with a few left over, and then throw away any that don't fit.