If you can afford to purchase the RAM (and then return it, if necessary) - then I'd think that it would be a valid troubleshooting procedure (and worth a try).
I really have no idea of why this system isn't functioning for you - and don't want to lead you in the wrong direction.
FWIW - I'd suspect issues with the mobo and would replace it if money's not an issue (based on the burn test results).
FYI - I had problems with my Asus P6T Deluxe v1.0 board for a long time (mostly BSOD's when going into sleep).
I finally gave up and bought a new mobo (P6T Deluxe v2.0) and haven't had a problem since!