Thanks for all the help, this is making a lot more sense now. Reading the service manual, I can confirm that it is indeed a 68000. I have a coworker that has done a bunch of bare metal 68k coding in the past, so he may be able to disassemble this and help me out a bit.
However, I'm going to start reseating all of the ROM chips first, as they are socketed, and this is something free to try.

This scope has sat on a shelf for a couple of years neglected, but I don't remember it having the address error when I diagnosed it back then. I'm hoping that it's not any of the socketed ram chips.
Ivan