I'll be sure to start putting electrical tape over standoffs, but I don't think that the problem is a grounding issue. Vibration and time don't seem to be a factor in the occurrences.
And the only extra devices that I leave plugged in are my CD-R and DVD-RW drives, which don't produce any real drain (and which don't cause the problem when I'm using them), and a single (small) case fan. The problem also doesn't occur when using external drives that draw power from the computer.
I honestly can't see how this could be a PSU issue (it isn't random, or related to power draw), but I really don't want to build a new system (which I would likely have to do, were it a mainboard issue (which seems pretty likely, at this point)), right now.
In other news, I don't seem to be getting the error with flash anymore (I'm going to do a mega-binge on Hulu, later, to make sure), which doesn't make any sense.
My biggest problem, right now, is that I don't have a lot of compatible spare parts lying around, so I can't just swap the parts out willy-nilly.