I too had 'bad luck' with a GTX 660. (See my thread here, I sidestepped the issue by swapping for a GTX 750. Mind you, my issue was not you're reporting!).There's a few things to try although you may have tried most. Including:
• Clean boot for troubleshooting https://support.microsoft.com/en-us/kb/929135
• Run Windows Driver Verifier (part of Windows 7 and Windows 8)
• Run System File Checker
• Check for Corrupt Direct X (see https://support.microsoft.com/en-us/kb/179113
Some of the various forum posts report issues with nVidia x60 type cards. I am assuming you've checked and updated motherboard drivers, motherboard BIOS if available, and have clean-installed the nVidia driver?
I also found the Microsoft Technet article The computer has rebooted from a bugcheck to be gold for methodical troubleshooting, it details a lot of the above steps (which are also those EA had me run through).
Hope this helps. At the end of the day there are some issues that are just waiting on Bioware to resolve (i.e. 'We are aware of issues with certain NVidia graphic cards and we are working with NVIDIA on a solution'), I hope this isn't one of them!