I agree with Stuckey's comment about the soldering, backed up by the "wiggling" of one of your grounds when tested. But, I think you can make this work. It will take a lot of work and time.
a)you have a lot of time invested already, b) there are a lot of good (eg, expensive) components in place, c) you have some of the skills already (your buss looks great in the picture) and d) really, there's only one way to learn -- do it, make mistakes, do it again, and again . . ..
Some tips based on your photos: 1. Don't use the cloth covered wire (yet). It can be messy (and is in your case) and when you pull back the cloth to make a connection, the cloth slides back over your solder connection and obscures it. Best to use standard PVC single stranded wire. It will be neater, and you will see your mistakes. Cloth wire has that vintage look, but remember that when Lupe or Lydia were wiring up Leo's amps, they were making maybe thousands of connections per day -- experience counts.
2. Clean the area around your solder joints. I see a number of solder drops/splashes in your two pictures. They are not causing problems now, but later they certainly can when they move around your build.
3. Your turret solder joints appear sketchy. What I do, and this may be controversial, is to heat the turret itself just below the top lip with your components in place, and allow solder to flow into the turret. Not too much at this point, but just enough to solder the component(s) and create a barrier inside the turret. When that has cooled, you can come back later and by heating the top of the turret and adding solder, you can build a nice rounded blob at the top. The point is that trying to do that all at once often heats the turret enough to cause your solder to flow right through the turret.
4. Use an electric drill to twist your heater wires. It is for sure more work than just soldering one end to a socket, then twisting by hand, but it is much neater. (the twist doesn't need to be super tight). PVC insulator is neater IMO; when I've tried this with cloth insulators, I've ended up kinking the wire.
5. I worry when I see long runs of unsupported and uninsulated wire from resistors and capacitors. It's one thing if you're running a resistor from one turret to the next -- that should be very safe -- but not so safe when a lot of components are close together and you have wires running here and there (as in your photo with those pretty Atom Caps). 18 or 20 gauge PTFE insulation is your friend, and not expensive. Good thing about this type of insulator is that it does not cover up mistakes.
I don't think these tips
alone will solve your hum problem. BUT, I bet if you go back over your build and reflow every connection, make it pretty, use wire that makes it easier to spot mistakes, insulate where needed and clean up everywhere, you will be a lot closer that you might think. If you haven't looked at Stuckey's amp pages
https://sluckeyamps.com/index.htm, it is worth it. By emulating his attention to detail, you will be a better builder.