A Black Screen, as opposed to a Blue Screen of death (BSOD) usually indicates a hardware problem (or possibly excessive heat), RAM, PSU (power supply), etc. If there is a software crash you usually get a Blue Screen with at least some information (not usually very user friendly). Unfortunately hardware problems are notoriously difficult to fault find.
I think the suspicious email is a coincidence rather than a cause and suspicious is much different from a detected virus in and email.
Check the avast Log Viewer (warnings section) and also the windows Event Viewer (Antivirus section), they should contain some information on virus detections. The windows event viewer may possibly have some information on the crash, but that is unlikely.