I am assuming you have the latest drivers...
Have you tried it in other games?
Mantle on/off?
did this PC have the nvidia drivers in it and have you done a full driver wipe?
I would 100% return this and instead pick up a 390. Not only will it run cooler and quieter, but its also DX12 ready. Its the same price or cheaper.
I have an XFX R9 390 and its quiet as could be and have zero issues with any games so far.. I did have a 270 in it before and could run BF4 fine with that card (vsync on)