|To get into BIOS you have to tap a key when starting - well before Windows starts. Which key depends on your motherboard but if you watch the screen carefully it mentions it as "Setup". However, if the computer was originally working properly I find it hard to believe that any setting has now got to be suddenly changed, and BIOS updates are almost never necessary. You should be able to see your temperatures in BIOS - it's a matter of looking through the menus. If you accidentally change something then just exit without saving (usually the Esc key).|
Did you run SIW to check temperatures? I think overheating should be eliminated from the equation, either with SIW or in BIOS, before you go any further.
Blue screens are usually (but not always) hardware problems. When a hardware issue occurs the error messages you get are often quite misleading. If it is not overheating then its more likely to be some loose connection inside, or oxide on RAM or Video Card edge connectors.
Please come back and let us know the outcome.