Sure, that would help, maybe one of us could find a clue and provide more suggestions. Also, if possible, try it with several different monitors. I have a graphite Studio Display and an LCD that will NOT work with IIci or IIsi, yet I have a couple of other Trinitrons that work perfectly or partially (green/washed out/etc). Some screens are more picky than others.

The way it sometimes works and sometimes doesn't screams "bad caps" to me. I'd at least run it in the dishwasher to remove any invisible leakage and conductive particles. Or replace the caps. A sloppy power supply could also cause the crashing and capacitor explosion you've witnessed.