The only time I had intrusive hum on the Plitron within my BPT was when I had an over voltage situation with my provider, 125-126V. I also had noisy power trans. in my Art Audio 845 and Coincident 845 amps, I ended up building bucking trans. to quiet those (no amps ever on PC for me).
I also have experience with battery vs AC powered equipment, had Nirvana Electronic Works SS class A amp which ran off 4 wheelchair 12v batteries, Merlin speakers back in the day run a BAM (essentially a preamp, rechargeable batteries), and experimented with battery vs AC power for preamps, dacs. I'd posit if going battery, Stromtank level of design and build quality may be necessary.
Large capacity transformer in PC and only run front end equipment off PC, no issue with saturation. No doubt grounding is an issue, I completely redid grounding in my house, no more ground loops with potential issues resolved.
@lewm pointed out the difference between these types of PC, this is consequential.