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I have another thought on the ground loop problem. One thing that is done is to connect the antenna ground to the house ground at the stake near the meter using a bare #6 wire. This provides an equipotential ground for everything and may solve the hum problem. It is also important for lightning protection.
Here is a link I found on the subject. It is rather a long read, but gives some information about this.
Things are getting complicated aren’t they?