Screen goes black, sound continues (With occasional bluescreen or fans spinning up)

[Géza!]

So, ever since I came back home after two weeks a day ago, my PC has been acting up.

First it happened as I was browsing the web, with graphical artifacts and the screen getting stuck, then bluescreen. Couldn't get a lot of info out of the bluescreen.

After some repeated crashes with the screen going black and sound continuing, Firefox became unlaunchable. I looked for any potential causes, so I vacuumed considerable amounts of dust from the CPU and GPU fans, and also reintsalled Firefox. After these steps, the problem went away for an entire day, with me watching videos and playing some games without problems. Then, an hour ago, as I was playing Total Warhammer, it did the screen going black and sound continuing thing again, and it continues to persist after multiple reboots - with the windows launch screen getting stuck once, for example, but it mostly happening after a short while, usually while I attempt to download a driver update for my AMD card. After the latest crash, I also noticed fans spinning up, though I'm not sure which exactly.

I'll try and post my exact specs when I can.