Hi,
It took awhile, but I've replaced the capacitors on the logic board. Aside from a couple lifted pads, I think it went well.
I also replaced most of the capacitors on the analog board/power supply. However, they seem to have and no effect. The power supply is still quite problematic.
What happens is that the voltage starts off low (around 4.4 volts for the +5.00 volt line), and then rises as the computer warms up. When it gets to about 4.75 volts, the logic board is able to chime, but booting is problematic until it reaches about 4.8 volts. The logic board works fine, however, there's huge amounts of distortion on the screen, a known good mouse is extremely erratic, and even though the voltages are well above that necessary for the hard drive to spin up, it won't (actually, it did once, but it was erratic, and didn't last long before the drive decided it wouldn't work (a self-protecting mechanism of some kind?)).
For the fun of it, I measured the +5.00 volts and +12.00 volts with the meter set to AC, and I found .35 Volts AC on the +5.00 line and .28 (or thereabouts) on the +12.00 line. Could that be what's causing the problem?
As I was redoing the capacitors, I also noticed a resistor that seemed kind of brown looking compared to the rest. Could
it be the problem?
I look forward to any advice/suggestions anyone may have.
c

- View of distorted display. The black and white vertical bars are due to the +5.00 line being too low for the logic board.

- Another view of the distortion
Edit: This is probably due to some AC current leaking in from somewhere, but I would've thought that the AC current would blow things up.