Using Kyhi boot rescue you should be able to backup important files.
This can be done by copy and paste.
Another option is to create a backup image.
Using Kyhi boot rescue you can use browsers and run hardware tests.
If the drive passes the testing then it can be used for a clean install once all important files are backed up.
Troubleshooting steps will take longer than a clean install.
You can run the log collectors (DM and BETA) and post zips into this thread.
Information about the problems should be within the logs.
BSOD - Posting Instructions - Windows 10 Forums