Kind of a bump, but someone might find this useful.
I was able to temporarily get it going again by starting the computer in VGA mode. Apparently, sometimes the card will attempt to send a signal to the monitor that the monitor doesn't recognize, resulting in a black screen (not off, just a bright black image) and starting in VGA will fix that.
Despite being the only card attached to the motherboard and a 1000W PSU, it still began to artifact the moment it was under a load. About a minute later, it gave me the green line screen and then the black line screen. I was unable to revive it and now it is in the mail to XFX for an RMA.
In all honesty, this card has been giving me similar problems from day 1, so I can't say I'm surprised. Hopefully the replacement will work out.