Alright, so I finally had time to open this beast up again and try a few things. I was hoping to double check the RAM and the expansion cards (which, themselves, are attached to an expansion card) in the hope that it was as simple as removing a component that had gone bad.
Fortunately, taking out the expansion card holding the card slots allowed the computer to boot without issue, so I was able to isolate it to one of those cards.
Here's where the plot thickens: it appears to have been the SB-16 (CT2980) I had installed in an ISA slot as the computer boots with the Yamaha sound card and Voodoo 2 card installed without incident. I'd say it was a software conflict, but both cards were installed the last time everything had been working, so I'm left to assume that something went wrong with the SB-16 either around or during the move. Thing is, I have NO idea what could have gone wrong. There are no bulging or leaking caps, nothing was bent or broken off, etc. and yet it gives a "Plug and Play Error" now if I boot with it installed.
If it helps at all, the output from this card seemed a lot more low level than what I get from the Yamaha card. I suppose that could be a sign of caps that simply aren't doing their job, but I don't know that it would be enough to prevent a boot.
Is the card salvageable or should I consider it junk and have it recycled? Seems a shame to do the latter as it's complete in box, but no real need to keep a busted card around.