I decided to call Richard Vandersteen this afternoon, and he said that the problem I described is a new one to him -- never heard of anything similar. After some discussion, Richard said that the only explanation that seems plausible to him is a reversed ground in a wiring run in my house. He said that it is possible for a reversed ground to cause a phase cancellation between the transformer of my main amp and the internal amp in the subwoofer. His suggestion was get an electrician to trace the grounds in the house wiring, but in the meantime he realized my only option is to run the subwoofers on the original circuit where they worked fine. The other thing Richard suggested is to run ALL of my equipment off one circuit, rather than connecting the different pieces of gear to several different outlets. With everything on one KNOWN grounded circuit, everything will be protected. He also suggested plugging the subwoofer amps in first, then the other power amps, and then the rest of the gear, so as to get the main turn-on surges finished and stabilized before powering the other gear.
Obviously, I have some exploring to do with my house wiring. I've put in Hubbell grade outlets, etc., but the house is 50 years old and may not be be wired properly.
Thanks for any and all advice.