Braydan900 :
Cpu: amd fx 4300
Ram: 4gb 1333
storage: 500gb 7200 rpm hdd
Gpu: gt 630
does this help?
Sorry, I accidentally fat-fingered on the "Mark as Solution" button.
But yes, it does help.
You still didn't specify the PSU Make/model (unless my eyes are playing up worse than usual), but even so it's possible that you are within power spec, since the GT 630 specifications suggest a 300W PSU.
That means you may be close and in "normal" (what the heck is normal??) situations the systems should have adequate power. That strongly suggest that there may be another reason for blue-screening.
Another contributor has already linked you to an aid for determining BSOD causes. Use that. Also do install the new PSU and let's see. I'm thinking it's 50-50 that you'll be back here after install.
That GT630 card is old, it may well be a cause, or if you scavenged the HDD there may be issues on that. SMART analysis of the HDD can be insightful.
MEMTEST on the memory might be useful as well.