Besides Coretemp, which doesn't work on my W7 and RealTemp, it seems to mess up. Are there any other CPU Monitors that run in the taskbar?
HD Tune (or at least HD Tune Pro) has a temperature monitor component that will run in the taskbar. Not sure this is what you're looking for, but you could check it out.
HWInfo32 and HWInfo64 will let you custom add temps to the system tray (via "Sensors" settings). It's not only updated frequently, it comes in as an installer or portable version (Free). More information... https://www.hwinfo.com/
Speedfan has always worked well for me on W7 systems. It is lightweight and has many useful extras. I've tried quite a few in the past and found that some work better than others on any specific hardware config / motherboard etc
I also use SpeedFan. The BSOD is probably caused by some bug, I also had this with an older version, and it might depend on specific hardware. Hopefully the developer will fix it.