I've spent the morning doing a bunch of things, reorienting, finding weird angles, and changing cables to shielded cables. Cables make no difference at all. There's definitely one spot that I found to place the SUT that is the quietest and it's about 14 inches away which is good... but there's still a noticeable hum, although only within 3 feet of the speakers, not in the listening position.
My question now is whether the hum is the fault of the SUT or the phono preamp? Will any SUT that gets near my phono preamp cause a problem? Probably need another SUT to figure that out.