Hey...
Why did the tube amp hum?
Because it forgot the words.
String, you already tried
physically disconnecting the input to the amp (right?,) and you are isolating power input with the BPT. So there can't be a ground loop. If you have any source component connected to the amp input even if the source is not powered on there can still be a ground loop through the source
if it is plugged in. If source and amp are both plugged into the BPT then there should be minimal loop current. But if source is plugged into the wall while amp is in the BPT that could be a problem since BPT has floating ground potential while the outlet is earthed, making a potential which will hum. But with nothing connected to the amp except its own PC the amp should be quiet as possible unless it is broken. But consider another possibility before you seek revenge or repair.
Your speakers are extremely sensitive. The problem could be as simple as a minor ground loop being amplified by way too much gain for your speakers. You probably only need 20dB total voltage gain for sensitive speakers and a strong DAC like EE. Adding a tube preamp will add even more gain and make any ground loop hum even louder. The Stereo 90 gain spec is not published but you can ask for it. Usual amp gain is 26 dB (20x amplification.) Tube amps are often higher than standard. 20dB is only 10x amplification, which makes full scale digital signal put 20V into your speakers. That's still enough to blow you out of the room with 97dB speakers. Hum and noise are amplified also and become very annoying. This is the other edge of the sword for sensitive speakers. Solid state is the easy answer, but you don't seem like an "easy answer" kind of guy, if so you would have used Rustoleum flat black instead of veneer....
If it's not a ground loop on the input signal, remember that hum can also originate as EMI from the power transformer inducing current in nearby conductors with magnetic leakage. That can't be fixed so easily. It should be at a very low level, but a circuit modification or a EMI sensitive tube could exaggerate it. Phono preamps use metal shields over their 12AX7s for this reason.
Check with Rogue to make sure it is OK to run it on balanced power, should be no problem with simple tube amp but it is worth asking. Also ask if you can swap a low gain 12AU7 for the 12ax7. I bet the answer is no.
BTW, it's a good idea to check over the whole amp for obvious problems, inside too, if you're comfortable with that. You just never know what you'll find inside a used tube amp. If there are mods you may not be able to tell without the real schematic, but usually the workmanship is not so pro and it is easy to spot. Adjust the bias, make sure it is stable and doesn't drift over time which indicates old tubes. Check the output offset voltage too, just to be safe.
If a loud hum is still there with totally ground isolated amp, with only PC and SC connected (no input physically connected), then try some normal midfi speakers typically 88ish sensitivity. If you can still hear the hum seek repair. I personally would send it to Rogue if you need repair.
Rich