Thank you, Bolle.
Yesterday I did a google search on difference between the 866CS and 866II and a nice blog posting came up with a table of features for the various models. It did show the 18V vs. 21 or 22V for Vpp that you mention. Most of the time, I'm programming modernish flash to put in place of old EPROMs. The Vpp shouldn't be needed to read the old EPROMs. In my particular case, if the issue does come up, I can probably program the older stuff on my EMP-30. Fortunately, the old chips are usually DIP or PLCC. No need for the fancy sockets.
DCR, you might search for some of techknight's postings. He's done a lot of board level repair and diagnosis, or even PM him.
In my experience, which is not very extensive, just really old, the board rot is usually at vias and solder pads. Vias are the solder fillled holes through the circuit board which connect traces on the back with traces on the front. And solder pads, are, of course, where pins from components are soldered to the board. On most of the board, the traces are covered by solder mask (the green coating) and so are protected. It takes a pretty nasty level of corrosion to reach under the solder mask, but perhaps it can seap in from the edges at solder pads.
Anyway, for vias and soldered joints, the solder should be relatively hard. I found that poking at vias and joints near leaky capacitors with an implement like a dental pick reveals soft solder which has been corroded but is not especially visibly distinctive. Then one can focus one's continuity testing in those realms. Although in some cases one probably just needs to llok at the schematic, hook a probe up to each address and data line in turn, and confirm that they're all connected to all the components they should be.
In my case, back around '97 I had a dead IIci. Poking with a pick, I found a soft via. Turned out the copper lining was eaten right out. But the top and bottom traces were obvious (happily no connection to an interior layer). I traced the connections back to their exposed end points and ran a bit of wire wrap to bypass the damage, and the board worked for many years after that. Eventually, the plastic SIMM sockets disintegraded, so if I ever want to use that one again, I'll need to replace the SIMM sockets.