You can look for YUMI and use an USB Stick.
Install Mint with it, and run it as Live OS, Mint it's nice to copy files to Back up.
You can also do the same with Hiren's boot and
Medicat, they run Windows 7/10 Live.
Medicat has W7 8 10 recoveries integrated and would be better as a configurable tool for other ocasions.
If you have space enough, copy the whole User folder containing Roaming and Local also.
ProgramData would have settings to backup as well.
As a suggestion, move User Docs, Music, Videos, Pics... folders to another drive once the System be recovered.
Also do it on your computer.
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