It's very unlikely that the Flash Player upgrade itself is the root-cause of the problem. It's far more likely that we're tickling something problematic that's executed by the operating system, underneath us.
The actual relevant minidump (usually located in C:\Windows\Minidump), or at minimum, a picture of the information displayed on the screen would give me a good idea about what's actually going on. The .dmp files can be pretty big, so you'd need to post them somewhere online -- adobe send, box, dropbox, google drive, etc. are all good options.
There are a couple recommendations for retrieving the contents of what's displayed during the BSOD here:
I don't know how I can share my dump files when I am denied permission to do anything with them. I won't upload it if I don't know the contents and it won't allow me to open it in Notepad. Additionally I don't care to research further on the subject on my own, do not have time. If you would enlighten me, its appreciated. They are two dmps and only a few hundred KBs.
Lastly, geez these forums are slow. Do you guys actually use Flash? The irony.
Another update: I set to never notify and since then 1+ flash updates have released that I manually updated to. No blue screen yet. Looks like my problems may be gone with Flash's updater set to never check for updates!