Windows 7: Many Random BSOD, STOP 0xF4

For about a month now, I've been getting random BSOD. It seems to be happening more frequently. It can happen when gaming, while browsing the internet, or even just idling on the desktop. I ran a memtest a while ago, and it didn't find anything, but I don't think I quite made it to 8 passes before I stopped it. I ran chkdsk /f yesterday after googling my stop code, but that didn't find anything.

My setup is:
Intel i3-2120
ASrock Extreme3 Gen3
Sapphire Radeon HD 6870
Boot drive: OCZ Agility III 120 GB
Storage drive: Samsung Spinpoint F3 500 GB

Because I have a separate boot drive and storage drive and the only large programs I have on the boot drive are BF3, I'm willing to do a clean install if I need to. But I wanted to get some more knowledgeable help before I went ahead and did anything. Thanks!

bump

bump #2

Bump #3, come on people, any ideas?

Sorry for the late reply

Please use this tool to update your profile specs

in the meantime i will have a look into the files...

Specs updated, thanks Centaur! Just a few updates:

Since my post I reinstalled Windows 7, and it did not fix the issue. I still received BSoD just as frequently, and at one point I received 2 in a row, before windows could even start up again.

At this point I had the idea to remove my video card and boot up using the integrated graphics in my i3. The video output on my motherboard worked and it started up, but once it got to the "Windows 7 is starting" screen the output shut off. As in, the computer kept running but my monitor wasn't receiving any signal. Confused, I reseated my video card to make sure that still worked. It did, and funnily enough it seemed to fix my problem for a time. At least, for several days I didn't have a crash. It eventually crashed again, but every time I've had two crashes near each other I've reseated my GPU, and it has seemed to help. I have no idea what to make of this, other than maybe my PCI-e lane is a little off and begins to lose connection if my card gets wiggled around?

Anyway, sorry for the wall of text, but I have a new round of minidumps for you, since my reinstall. I've been checking BlueScreenView every time, and it always mentions ntoskrnl.exe and another file, but the second one seems to change a lot.

Thanks so much for taking a look!