Hello roxbits. Welcome to Seven Forums. I have looked at your file upload and there does not seem to be any .dmp files in it. The .dmp files are the ones we need to analyze the BSODs. To ensure that they are being generted, please follow these instructions;
Go to Start and type in "sysdm.cpl" (without the quotes) and press Enter
Click on the Advanced tab
Click on the Startup and Recovery Settings button
Ensure that "Write an event to the system log" is checked
Ensure that "Automatically restart" is unchecked
Under the Write Debugging Information header select "Small memory dump (64 kB)" in the dropdown box
Ensure that the Small Dump Directory is listed as "%systemroot%\Minidump" (without the quotes)
Click OK twice to exit the dialogs, then reboot for the changes to take effect.
Give it a few days, let some more BSODs occur and repost with the original steps you took the first time, in this same thread.
One more thing for you to do, try running SFC /SCANNOW Command - System File Checker
you should do this three times. Reboot after each run. And let us know if any repairs are made.