... If you don't have obviously-working signal, you probably also don't know "for sure" what is causing hum. ...
I thought I'd note that the reason for my statement above is recent personal experience.
I built a small amp yesterday and at first power-on was greeted with no guitar signal but some kind of weird pulsating hum/buzz. Hoffman Law: "If it was wired right, it would be working now."
So I took a few hours off without messing with the amp. When I came back to it, I notice the output tube had a crazy light-purple glow between the plate & cathode, and one of the preamp tubes seemed much darker than the others. Knowing the output tube had to be bad (gassy), I tried installing a different output tube and the glow went away. So the gassy tube went in the trash.
I opened the amp focused on finding my wiring error. Just with a visual inspection, I noticed a wire from an output tube pin wrong to the wrong turret, and my preamp pentode had no connection for the suppressor grid (I forgot when I drew up a layout that this one tube did not internally connect the suppressor to the cathode). The preamp pentode also had the screen connected to the wrong turret.
I fixed those issues, and fired up the amp again focused only on seeing if the pentode channel worked (the amp also has a triode preamp channel). With the new output tube and corrected connections, the strange noises were gone and the pentode channel worked as it should.
The triode channel was still non-functional. I notice one of the triodes lit up brightly (maybe too bright red?) while the other was dark. To find out if the tube or the socket was bad, I swapped the positions of the two triode tubes. The dark socket stayed dark, etc. So now I checked continuity of the heater wiring with the power off. All was good except for 1 pin of the dark socket. After unsoldering, I found the wire fit through the hole in the socket lug along with a bit of the Teflon insulation. Solder held it in place but it was not enough to ensure a good electrical connection. So unsolder, strip a little, resolder.
Afterwards, the triode channel worked. The amp overall has extremely low noise, though there is a tiny bit on the triode channel if you put your ear
right on the grill cloth. But if my a.c. is on I can't even hear the noise over that. Complete troubleshooting & repair time was about 20 minutes, mostly because the heater wiring repair required removal/replacement of a number of parts to gain access (which was also a good reminder that along with the PT primary wiring function check I made as soon as that was installed, I should have followed up with a heater wiring function check before assembling the rest of the amp).
All of the above is to say that while plugging a mains-powered effect like this into an amp is a guaranteed ground loop (and you should get/use an isolation device), I'd hold off on any other hum chasing until you're 1000% sure the wiring/soldering is absolutely correct.
In my case, I had very strange noise symptoms and I'm not going to attempt to figure out how they happened or the mechanism which caused them. I knew it was a fresh build and except for the definite bum output tube the fault(s) had to be wiring error. I wouldn't have connected the weird sounds I heard with a missing suppressor connection or the other wiring errors, but a close visual inspection after taking some time away from the amp found them.