OK, for anyone following this, here's what I found. The cheap power supply PCB I had for the gainclone (PS and two signal boards cost me $7 shipped...from China so it's probably a rip-off not to mention slave labor.. live and learn) has 4 mounting holes that are plated with relatively large metal pads for mounting screws. It all looked fine, with the boards being surprisingly nice (OK, if you accept that a gainclone isn't really a gainclone if it's on a PCB!). I had mounted the PS board with some star lock washers to keep the mounts tight.
Well, one or two of the lock washers were wider than the mounting hole pads by a tiny bit, so they touched the green PCB coating. I'm assuming they scraped off the coating and made contact with some tracings which happened to be ... the negative rail. In short, the non-insulated mounting screws were creating continuity between the chassis and the negative rail. Never mind that the negative rail shouldn't be anywhere so close to the chassis mounts in the first place - such a situation shouldn't be possible IMHO.
I replaced the metal lock washers with some nylon washers and the problem disappeared. No continuity, no voltage on the chassis. I then replaced the power cord with a 3-conductor cord and grounded the chassis. Connected the previously floating center point on the PS to the chassis star ground, and fired it up. No problems. And Quickie plays quite nicely with this amp now. Some slight hum, which I suspect may have to do with the low input impedance of the gainclone, but will experiment.
in short, though, (no pun intended) the key problem has been fixed. Thanks for help folks!