BIOS is probably failing to post due to the excessive heat in the chips and the hard drive.
Mine does this, sometimes it will just bearly boot up, but then runs like a 80386 with about 4meg of RAM
Last week my CPU hit 86 degrees C and the PC restarted, then said insert system disk... Got it in the house for some diagnostics and it had fried the harddrive contents to oblivion - Had to do yet another rebuild, but this time found a couple of hundred bad sectors on the drive

And one of the VIA chips on the board has some faint brown staining on the top now, still seems to work ok though when its not getting silly hot
If case temps go over 50deg C and CPU temps go over 70deg C then you will experience problems.
And I was told that generally a CPU will meltdown if it exceeds 85deg C core temperature.
Sounds like you need some big *** 120mm high CFM fans pointing at the board
One 80mm (1500rpm) fan over my mobo drops the temps by nearly 20degrees
You also need to make sure the case has adequate ventilation and fans.
Maybe using a watercooling system is an option for you. Its not for me as I can't find a heatsink/radiator/heat exchanger which fits the SP13000 CPU.
When winter comes round though you'll have the oposite problem, too cold and your HD will not spin up properly cause the cold makes the spindle grease go too thick and it stops it spinning up to speed, and you may be at risk of condensation on the circuit boards.
HTH
John