So this should be my final update (hopefully) for anyone who is following this or might need this for future reference. After my last solution failed I tested each stick of RAM individually and in each slot on my motherboard as well as testing a separate stick of RAM from a different computer to make sure that it wasn't a bad stick of RAM. I conducted stress tests on my CPU and GPU and they both passed with flying colors (and I was actually quite impressed with how cold my CPU stays under 100% load); it was only during the stress test that focused more on RAM that my computer crashed and since I was fairly certain it wasn't the sticks of RAM themselves I focused on the motherboard.
One of the final ideas I had (I had actually thought of this earlier on, just hadn't actually tried it) was updating the BIOS. I spent a couple days reading how to update the BIOS and updated from 1402 to 1603 which is the latest version as of today. After updating the BIOS my computer managed to run a full 10 mins in the RAM stress test whereas before I would be lucky if it lasted more than 30 seconds. Unfortunately at that point I wasn't able to do any flights to test it out completely as I had to go to work but I will test out some flights in the near future and if all goes well I will mark this as the correct answer for anyone who might come across a similar issue.