Uh, crap, then I'm sorry to say that I don't actually have any crash dumps. This is most likely because I need to hard reset my computer every time it does this and the game has no time/cannot save a crash dump. There's no crash dumps for either unmodded or modded.

Alright I found them and I uploaded all the files. This is the first time ARMA 3 has been acting up on me, so the files are all from within several hours of each other. I'm uploading it in both .7z and .zip form, as I don't actually have winrar on here (I use 7-Zip for all this stuff). Hope it helps.

Did some more testing on the problem yesterday and here's some more I can tell:

-It happens with and without mods. Even with everything turned off and set to default, the game will still crash.
-It's not as random as I first thought. In both cases with and without mods, it decides to crash after roughly 25-30 minutes of running. By running, I mean actually being in a scenario or virtual arsenal and not just on desktop.
-I have verified the game files and everything is in order. I've also set HDR to low and lowered most of my settings to low. The problem still persists.

Edit: I also forgot to mention that yes, I updated all my card drivers and directx drivers. I'm certain they are the most up to date they can be.