I can't prove it was whiskers. Another characteristic was that the problem would come and go. Sometimes it wouldn't show up with my Fluke 73 DVM, but the minute I made a 10 volt (or higher) resistance measurement with the higher voltage meter, the problem would instantly come back and stay back for a good while, easily measured with the 73. Everything is clean and dry inside, plus the case is reasonably well sealed. Tin whiskers seemed as plausible as anything, but once the switch area was brushed out, the meter was as good (or bad) as ever and passes a 500 volt resistance check. "UCO" Unidentified Conductive Object.
I've been recording data morning and night on weekdays and will do a noon measurement over the weekend. I'm comparing three 731 references and two Mini-Metrology references. I don't have any kind of scanner so manual measurements are the best I can do. The lab is extremely stable at 68F all the time. The barometer hasn't moved much, nor has the relative humidity. Here's a screen shot from the Excel file. I do dates as Julian dates because they graph better. Every 10 microvolts is 1 ppm and an interesting point is the date 335.861 because the only thing that changed there was a 0.2" drop in barometric pressure, though I find it hard to believe that would be detectable. It's also interesting how everything moved in the first hours after tweaking all the pots and gently rapping things.