After it crashes and you turn it off and back on, do things start crashing immediately after booting, or does it work for a bit?
At this point I'm thinking that it has to be a heat related issue... maybe a bad wire, loose connection, solder joint, or badly seated chip or RAM.
EDIT: Maybe you could add a fan somehow either internally or externally... one sure way to fix the heat issue is to replace the Plus with an SE.