I wanted to update this issue as I heard the hum again a few times over the last few weeks. Each time I opened the sub panel breaker and the hum stopped.
Tonight it hummed lightly again so I shut down one breaker at a time in the sub panel. Last time I did this I don't remember anything happening, but this time it was different.
When I opened the breaker for the microwave, the humming stopped, was dead silent. The microwave was not in use, only the clock and the two incandescent surface lights.
I closed the breaker again and the humming was still gone.
What can be in the microwave that could possibly allow DC into the mains after a period of time?
Anything else come to mind?