I think I fixed mine....
I just managed to play a full round without a single BSOD or game crash.
Also do not worry for jumping in and replying you have a blue screen. It must be something wrong with the game files causing the problem.
Here is what I did.
I went to Battlefield 4>_Installer>Direct X>Redist> DXSetup (Run it and leave it)
Then I went to Battlefield 4>_Installer> VC>vc2012Update3> Redist> Then repaired both the files.
Then AMD 13.9 Drivers, which some reason have more driver content than the beta. Once installed I rebooted, and then installed the Beta 13.11 Beta V9.4
I already had the latest chipset, graphics drivers, audio drivers, LAN drivers, Windows Updates so no need for me to do them but you should if you have not done them already.
I then booted to do a Windows Repair. I cannot remember the function but you need to restart your PC and go into the Windows Repair section... I think it is F8 but I am really not sure as I forgot... I let that go through and let it repair any files it needed.
I then ran CCleaner and into registry and Scan> Fix... Scan> Fix... Scan> Fix.... I did it 3 times because some files did not work on the first two... Then reboot PC... Then I removed CCleaner from the machine.
Tested BF4 and I was able to play a game without a single problem. I played an entire game without a blue screen, a BF4 stopped responding or a game close, so I think it is working fully now.
I will post back if I have not and it has crashed.