Just booked DFW-BKK round trip for an amazing $508. Thanks for the tip!
The 4x/5x FF miles and the 15% additional Visa discount are nowhere to be seen, though. Going to call them about that tomorrow. Not super-worried about either.
I've only flown Qatar Airways once, because I've only been to Asia once before. So the frequent flyer miles probably won't do me much good regardless (the only FF miles I really collect are Delta.) The Visa discount would be nice, but at this price, I'm not complaining.