What sometimes helps for cable induced hum...
..are home-brew cable isolators.
Get two barrel-style 300 ohm to 75 ohm balun transformers, like they used to use on the back of TV's when they only had 300 ohm RF inputs and you wanted to connect an RF cable box, or what they still use on yagi rooftop antennas to facilitate 75 ohm feed lines.
Connect the two twin-leads together so you have the two male cable ends to work with.
If you get lucky, when you insert this between the cable input and the cable box, it will break the ground circuit.
If not, it was a valiant effort and didn't break the bank. And, yes, this has been known to work.
I know the article recommends against it, but it's worth a try, doesn't cost a fortune and, who knows, it just might work for you.