The cap swap did the trick! The amp sounds perfect (at least at "apartment volume"), all voltages are correct, and aside from a bit of hiss (CC resistors throughout), there is virtually no hum or any other noise when the amp is cranked. I’ll take the amp to the studio on Friday and give it a good workout at full volume.
Willabe, I did end up moving the B+1 node into the chassis with the neg. side right on the power amp ground terminal as you suggested. Photos below. You can see the PT CT & Filament CT go right to the power amp ground, as do the bias ground (yellow wire) and the neg side of the other two B+ nodes from the doghouse (white wire). At the top of the amp, you can see 2 pairs of red/white wires from B+2 and B+3 on the board, and each pair goes to a corresponding filter cap in the doghouse. I twisted these really tight and into the doghouse. In these red/white pairs, one of the white wires returns from the doghouse to the power amp ground (as stated above), and the other goes from the doghouse to the Presence ground. In other words, I've wired the grounding exactly like the chart I drew in my earlier post based on the info you provided.
The top/left side of the amp isn’t as neat is it could be with the additional wiring, but the hum is virtually gone so I think it’s a good tradeoff. I did spend some time moving wires around so that "different" wires only cross at right angles. I’m also going to put a bit of silicone under the B+1 caps so that they’re supported by more than their leads.
I’m really glad I rebuilt the amp from scratch. The CC resistors are quieter than I expected, and I doubt I’ll ever work with PVC stranded wire again. The cloth pushback wire is so much easier to use, looks better, and allows for neater layout IMO.
So, thank you all, and if I don't find any issues when I crank the amp this Friday, I'll start the rebuild of my 5E3!