Hi Cybot,
Thank you for detailed response on this issue. Your guessing might be correct or even coincidence. This BSOD may be caused due to 32 GB card or some incompatible drivers on the computer. Initially make sure you have latest Windows Updates installed on the computer including optional updates. Refer to: http://windows.microsoft.com/en-IN/windows7/Install-Windows-updates
Also it may help us to find the exact cause of the issue after looking at the minidump files. Please check the Private Message sent by Forum Moderator to upload the dump files.
Also refer to the link for assistance in BSOD.
Resolving stop (blue screen) errors in Windows 7
http://windows.microsoft.com/en-IN/windows7/Resolving-stop-blue-screen-errors-in-Windows-7
Refer to “If you can start Windows” section.
Important: While performing chkdsk on the hard drive if any bad sectors are found on the hard drive when chkdsk tries to repair that sector if any data available on that might be lost
Let us know the status of the issue. If you need further assistance, please post back. We will be glad to help you.