Solved BSOD Occurs At Random Intervals While Browsing (Firefox)

I allowed Startup Repair to complete two times. It states that Windows cannot repair automatically.
I tried a couple of solutions.

1.
I attempted to follow the instructions for the "... infinite loop recovery", but could not find the system drive. I tried all the letters of the alphabet in command prompt, but could only find one partition on the SSD.​

2.
I tried to restore, but could not get the last restore point.​

3.
I tried to use a system image on my HDD, but it failed.​

4.
I tried to use a DVD of the system image, but I cannot figure that out.​

So, I'm presuming the last course of action is reformat?
If so, is it possible to keep one of the two partitions on the SSD, once I reformat my computer?
The one partition has Windows on it, while the other has non-Windows stuff on it.
 

My Computer My Computer

OS
Windows 7 Professional 64 bit
CPU
Intel i7 3.5GHZ
Motherboard
Asus P8Z77-V Pro
Memory
16GB DDR3
Graphics Card(s)
Radeon HD 6950
Sound Card
Mobo
Monitor(s) Displays
37" LG LCD + 19" Samsung LCD
Hard Drives
SSD ADATA AS10S3 1200 GB + Hitachi Deskstar 7K3000 2TB 7200 RPM 64 MB Cache
PSU
Corsair
Case
Thermaltake
Cooling
Corsair H100
Are the two partitions on two separate drives? If so, then unplug the drive you do not wish to reformat, and then clean install Windows from there.
 

My Computer My Computer

Computer type
Laptop
Question, when asked where to install Windows, no drives are found.
How do I rectify this?
 

My Computer My Computer

OS
Windows 7 Professional 64 bit
CPU
Intel i7 3.5GHZ
Motherboard
Asus P8Z77-V Pro
Memory
16GB DDR3
Graphics Card(s)
Radeon HD 6950
Sound Card
Mobo
Monitor(s) Displays
37" LG LCD + 19" Samsung LCD
Hard Drives
SSD ADATA AS10S3 1200 GB + Hitachi Deskstar 7K3000 2TB 7200 RPM 64 MB Cache
PSU
Corsair
Case
Thermaltake
Cooling
Corsair H100
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