The problem recurs with different brands and models of speakers. In particular, Linn Ninkas, Totem Mite-T's, Audio Physic Spark IIII's, and Linn Katans.
A late-breaking development: When the problem is occurring, I can feel what I always thought was a faint vibration on the front aprons of both the amp and preamp. When the problem isn't occurring, I can't feel the "vibration."
I hadn't thought much about it until last night, when I realized that I could still feel it after powering everything down -- which suggests that it's not a vibration at all, but a very, very faint electrical discharge, leaving the front apron of the two pieces and traveling down my hand into ground.
...unless I'm imagining that, too. At this point I have no idea what to believe, except that my very, very expensive rig sounds positively unlistenable, and I'm pretty-well exasperated with the whole flippin' thing.