Multiple Different BSODs Custom PC

Alright, ran FurMark for 32 minutes. No artifacts, no lag, temp leveled out at 82 in about 2 minutes, max fan speed was 70%. No screen flickering, no BSOD.

That doesn't sound right, that sounds like a faulty GPU in my opinion. Your screen shouldn't flicker at all.

How does it manage to pass every test I throw at it though? What would I do now?

Playing Skyrim again without Verifier running, ended up getting a BSOD that I've gotten before but with a new driver attached. TCP/IP Driver with NT Kernal.

Got another one when I tried to go to bed, pressed the Shut Down button in the windows menu and got a System Service Exception blue screen without Verifier on. I'll be turning verifier on until this matter is completely finished.

I can't see any network errors though, however your USB 3.0 extensible driver is causing issues.
I can see it's already up to date, what devices have you got plugged into the USB 3.0 slots (They are blue instead of black).

I have my keyboard, mouse, and a Turtlebeach PX 21 gaming headset plugged into the back USB 3.0's.
I also have two HDMI's on the back of my computer, 1 from the graphics card and 1 from the mobo, is there a specific HDMI that my monitor should be plugged into?
I have it plugged into my graphics card HDMI cause I got no signal off of my mobo's HDMI. (If this has any relevance)

Keyboard: Razor Deathstalker
Mouse: Razor Naga Hex

No the HDMIs are fine, does you compute rhave USB 2.0 slots? It's a stupid question but I must ask. If so (it should be yes) can you plug your plug your peripherals into your USB 2.0 slots and see if the issues continue.

Alright, plugged all the USB's into 2.0 slots, what about the graphics card?
It works absolutely perfect on stress tests, so how can I tell if it's truly defective?

Well in the latest bugcheck your Intel USB 3.0 driver was causing issues. You can test to see if your GPU is defective by putting it in another PC and see if it BSODs.