It's alive!
This is weird. I thought I'd go through the memory modules as the failure mode was consistent with bad memory. I tested each separately and each was okay. I put all four back in and the computer posted and then booted!
Perhaps it was only that one or more of the modules had worked loose, but the machine is back.
Needless to say, Mrs. PTravel is ecstatic -- no new computer purchase for me today.