If your CPU is sitting at 65°c just in the BIOS then you still have a severe over heating issue. You should be sitting at absolutely no more than 35-40°c in BIOS, which is essentially the same as sitting just on the desktop. As soon as you start placing strain on the CPU it will over heat to the point where the CPU will shut the PC down.
You say you only have one case fan, and a stock intel cooler. That clearly is not enough. You need a better CPU cooler, and having seen what your case looks like, I would advise picking up a new one with better cooling options.