**update**
Had the RFI Techs out today. They were both very professional and within a very short time we had the problem tracked down.
It turns out my neighbor (who was on vacation for a short time) had an invisible fence installed. (A pet fence.)
In the garage, there's a pretty chunky transformer but it's powered by another device which plugs into the house AC system. (This is why it's a 24/7 source.)
We unplugged the power and sure enough, the noise stopped completely. The tech put his wand & rfi locator over the transformer and it was crazy loud.
The consensus is that it's likely a defective transformer. We called the company that installed the neighbor's unit and they are going to look at it tomorrow. So hopefully this will all be resolved soon.
I didn't think to look for the manufacturer but we were told this wasn't a cheap unit.