This is something I can relate to as well. I had the same issues with BF4, where it was the only game crashing my GFX card (R9 270x). For me it was the DXDIAG ERROR DEVICE HUNG not on Windows 7 though, only on Windows 8. Also, I noticed that BF4 runs smoother on Windows 8 with increased FPS. Incidentally I had a 4870 lying around and when I suspected my 270x I RMA'ed it. On my 4870 512 MB I get 15-30 FPS on the lowest settings on BF4 and never once did it crash. Using the 270x I started using Mantle and I did get quite an FPS boost. I did try a GTX760 with which I did not have a single issue. So definitely, there is something to this combo of R9 series and BF4. I received my 270x but I haven't put it back in the system yet. I used the AMD Driver Clean utility for Windows 7 on Windows 8, it broke my registry so now I cannot uninstall programs. I wish I knew that beforehand.
Anyways, I will post back when I get a chance to put it back in the system.