What systematic approach to BSOD troubleshooting after basics fail?

[AuroraJ]

I've been getting frequent BSOD errors on my custom-built gaming PC, specifically the "IRQL_NOT_LESS_OR_EQUAL" and "SYSTEM_SERVICE_EXCEPTION" stop codes, which seem to happen randomly during gaming sessions. I've updated all my drivers, run memory diagnostics, and checked my temperatures, but the crashes persist, making me suspect a deeper hardware incompatibility or a failing SSD. For others experienced with BSOD troubleshooting, what is your systematic approach after the basic steps fail? What tools do you rely on to analyze the minidump files effectively, and how do you isolate the problem between potentially faulty RAM, an unstable overclock, or a corrupt Windows installation when the error codes are inconsistent?