I am having a similar case as well. Random blue screening around 2 times a day. Happens even when not in game. Sometimes it happens when watching videos on youtube. Although I havent tried to reinstall drivers yet though. However I noticed a few similariteis in our hardware, specifically the video card.
My specs are pretty similar
Video Card: Gigabyte GTX 660 2GB VRAM
CPU: Intel i5 4670k quad core.
Ram: 16 GB
Motherboard: Gigabyte GA-Z87X-UD4H
- Main: 240GB SSD (Brand: Kingston)
- 1 TB HDD (Battlefront is installed here) (Brand: Western Digital)
- 3TB HDD (Brand: Western Digital)
- 120GB SSD (Brand: Kingston)