"There might be a 7 64-bit system out there which works with Painter Ess 4 (PSPP one), however, this doesn't mean it should work."
I would say at this point it's not looking like PE4 and my Windows 7 64 Bit machine will get along - nevertheless, I'll keep trying. I posted to the forum at essentialscafe.com, and am waiting on their take.
I also mentioned in that forum about reading that some say large amounts of RAM are bothersome for PE4. With 12GB myself, I probably qualify for that. My alternatives at this time include installing PE4 on my old XP machine, and/or attempting to run an old version of Virtual Painter from 2005 on my 64 Bit Windows 7.