My 290 has not black screened while playing a game or any 3D application, however it will freeze my screen, cut to black, and return to normal (about a 10 second pause) every time I lock windows or have the UAC window appear.
Is this possibly related?
FYI, this resolved itself with a reinstall of the drivers. No clue what was going on, but hasn't happened since and I have yet to see a black screen in 10+hrs of BF4 (1440p at high).