Just a drive-by idea: Maybe you need a good "strap" type ground connection between the top and the chassis. Just contacting it...anodized metal does not make an especially great connection even with multiple screws through it. Need to scrape off a section of the anodizing on both the top and the "tub" and make a relatively heavyish stout ground connection using through-screws and some heavy stranded wire. Another way might be to just tickle the countersinks in the top flat plate (if they are countersunk) with a countersink bit and carve off the anodizing inside the taper of the countersinks. In operation, do you have tube shields installed on the three tubes? If everything is anodized, including the countersinks in the top, AND you are using painted or anodized screws, your gnd connection between the top plate and the tub could be less than ideal. I would go for this "tickle the countersinks" first as if it did not work, the results would be invisible, and, you could test the result with only one or two screws. Try unpainted/ananodized screws as well.
Drive-by idea #2: Disconnect the 2-wire accessory outlet. (long shot) << no, forget that.
Drive-by idea #3: synthetic center tap on the fil winding?