BlueScreenView will go so far as to tell you what line in what system file caused the BSOD, assuming your system was able to write a dump file.
You're probably better off testing one piece at a time, CPU benchmark, GPU benchmark, MemTest, hard drive diagnostics, and figure out which is causing the problem. Since it's a BSOD, no programs will get a chance to output up-to-date logs at the time of crash. Only the OS gets that chance, and it generally doesn't do ****.
However, you could try things like
ProcessHacker (advanced task manager) or
hwmonitor (temperatures).
For individual benchmarks:
CPU: http://www.techspot.com/downloads/4965-intelburntest.html
GPU: http://event.msi.com/vga/afterburner/download.htm (Kombustor install included in the Afterburner files)
RAM: http://www.memtest.org/
HDD: http://www.hdtune.com/ (Never used it, but it looks alright)
Testing RAM through a USB/CD/Floppy boot disk will be better.
Also things you can try through Command Prompt without 3rd party stuff:
chkdsk [drive letter] /r
Scans the entire drive/partition for file structure and data corruption.
sfc /scannow
Scans the operating system's files for corruption.
If the BSODing happens in Safe Mode as well, it's almost assuredly a hardware problem, requiring at least a reinstall of the OS.