I can tell you for sure, Your ASUS motherboard plus ur Intel CPU are perfectly fine & can take excess pressure on the regarding ur PCI peripherals so don't suspect them... but:

In my opinion & based on previous experience, I believe that ATI cards are just overpowered, ATI makes GFX cards to work but not to last in most cases of course, It's has a very good performance I can give you that but it overheats insanely, and even liquid cooling fluid wont help it, I suggest returning your card & if possible replacing it with nVIDIA, I've never had any problems with these cards.