Those driver updating tools install incompatible drivers, they are not safe to use to install/update your drivers.
1
In the Recovery Environment, open Command Prompt.
In Command Prompt, type notepad.exe and press Enter.
Notepad should open.
Select File - Open.
You should be able to use the Open File Dialog like a small File Explorer window to drag your files and folders out onto a USb drive for safe keeping.
2
You indicate you have created a bootable Windows USB, are you able to boot your PC from that, then select 'Repair this Computer' to access the recovery environment on the USB.