Last week I put together a machine for a friend that got the parts for it.
It was an ASUS 7870, but mind you, after I installed the latest drivers, it crashed as well. Not a single BIOS modification, simply installing drivers, and GPU tweak (didn't mod anything)
The problem was that I installed the latest BETA driver. I had to solve the issue by safe mode deleting the driver and then use the 13.1 drivers.
Maybe that's what happened to you.