My SSD has latest firmware and my MOBO has latest BIOS. I updated a few of my motherboard's drivers (chipset, USB, and audio) per your recommendation. I believe everything is up to date now. However, all my issues are still present after all updates and doing a clean boot/the other things you recommended.
The only thing that has resolved my BSODs, freezes, and stutters has been to switch my PCI-E configuration in my BIOS to gen2. When I do this I receive no random BSODs, stutters, or freezes.
In the 48 hours I have been running on gen2 my computer has yet to freeze or BSOD. However, it does have other issues. Now whenever I start up Windows, open a program, close a program, adjust volume, make a video full screen, or numerous other things I get brief audio crackles. Also, my screen occasionally goes black and my graphics driver will crash when watching videos in full screen, but not yet while gaming.
When I switch back to Gen3 the above crackling/crash issues go away, but the stutter, BSOD, and freeze issues come back, if I can even get Windows to boot at all. Usually when running in gen3 my computer will freeze on the Windows password screen. If I make it through the password screen without it freezing it will freeze or BSOD within 30 minutes of having booted up, regardless if I am just surfing the net or running a game.
What else could the F4 error be besides an SSD issue? The SSD I am running Windows on is brand new. I had a 120GB Kingston HyperX drive a few weeks ago, but the piece that holds the sata cable onto the metal connectors broke off and I couldn't get it to work any longer so I bought a new one. Most of the issues I am having were still present on that drive.
Start-up:
Removed all non-essential items
Clean boot:
Did this, issues were still present.
SFC:
Did this, found nothing.
Crystal Disk Info:
Samsung 840 EVO:
http://gyazo.com/7ef28255d5e76e99277b55b847c81f6d
ST3500320AS:
http://gyazo.com/e3ca75da7fa4aeb024cff2d0392c0b32
Hard Drive test:
Ran this, found nothing.
Disk Check:
Ran this, found nothing.