Whenever I see posts like that, where there a dozen different bsod's.. it instantly reminds me that in 90% of all cases this is a ram issue. When ram is fux0rd the system will encounter memory corruption at random times, which causes corruption in random system kernel drivers. Ram fux0rd can happen from simple things (some mainboards REQUIRE ram in Slot 0 or they flat out won't work properly) and other times ram can arrive broken from the get go.
Highlighting this: Especially in a new computer RAM is most likely, with CPU, cooling, and power issues filling out the most likely list.
If you can, run a tool like Prime95 to do a RAM checkout. You can also try swapping out sticks one at a time and seeing if that helps things.
You can set an alarm for the CPU and GPU temperature monitors, and log the data if you have software that supports it. This can help you find out if your thermal paste is uneven, too thin, etc.
If you have a bad power supply, I don't know of an easy way to detect it, unfortunately. There are some tools, and your motherboard may have some built in, but you'll need to find the right tool for your hardware specifically. All I can recommend as a quick help for power is to put your computer on a good clean power source - a high end, battery backup UPS/power strip, or something similar.
You can also do a visual inspection of your hardware, especially motherboard, looking for bad soldering, scratches, bad caps, loose connections, and the like.
Finally, if nothing appears to be bad, you can just start swapping out parts from other computers until you find something that makes it work. This is easier to do if you can force the computer to crash quickly... being forced to wait 12 hours every time can make this a real PITA.
Other than that, good luck? I've built my own computers for many years now, and it's been worth it 99% of the time... but that last 1% when something like this happens sucks and is really frustrating. You have my every sympathy.