So after leaving my PC on for the whole day today, while I went to work, idle but for downloading, It appears the problem may be resolved. I say may, because we all know how our Pc's can give us false hope.
However, it has definitely not BSOD'd the entire day. So I'm starting to lean towards firm confirmation that switching out the external wireless adapter has solved the issue.
I'll return in a couple more days to mark this as solved.
Thanks for your help Dsprague!