After trying some things (that didn't work) that seemed like they would work I decided to ask for help. I have two monitors, a large 1080p one which is plugged into my graphics card and a smaller 4:3 VGA monitor for secondary tasks that's plugged into my motherboard. Although I have not tested this issue with other video streaming services, it seems that YouTube (although it could be other services as well) will crash whenever I put a video in full screen mode on my larger (primary) monitor.
That being said, my computer will NOT crash when I use full screen mode on my smaller, secondary monitor.
My computer also does not crash while playing/using any games or programs in full screen, with the exception of WildStar (more on that later).
I have gone through device manager and searched for every update I could find for my devices, and I have also ran through GeForce Experience to update my video drivers as well, so none of my hardware is out of date.
I have tried disabling certain devices to see if there was an issue with those (I had gotten some new peripherals at the time) and it has not fixed the problem either.
I have ran a memtest through windows, and although most people say that memtest86 (or whatever it's called) is more reliable, I figured that since the windows memtest came clean, and an issue with RAM causing a blue screen just from YouTube, I decided that it would be extremely unlikely that RAM would be the issue since I can run pretty much every program I have just fine in full screen.
Like I said earlier, the only other thing I have a problem with is a BSOD with WildStar. I thought I would include this information because I have no idea if the attached file will have any sort of information dealing with the dump files caused by that game rather than YouTube. It would be interesting to know whether or not the crashing from WildStar and YouTube are caused by the same problem, because then I could kill two birds with one stone.
The only other option that I haven't tried yet for reasons I am willing to explain, is updating my BIOS. I have seen limited, but some information that tells me this could be a possible fix. A serious thank you to anyone willing to provide any help!