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#21
Pretty much in my quote in the middle of the op. Download Kyhi's recovery tools ISO file. Mount it. Windows 8 and 10 will mount ISO files in file explorer, you will need a program to mount ISO files in Windows 7. On your standard Windows 10 installation USB flash drive go to the \Sources folder. Rename the boot.wim file there to boot.bak. From the drive letter that appears when you mount Kyhi's ISO file, go to the \Sources folder there. Copy the boot.wim file to the \sources folder on the Windows 10 USB flash drive.
Now when you boot the computer from the modified flash drive it will boot into Kyhi's recovery tools. Check the date and time on the status bar. If needed set it to the correct date and time. Open file explorer, navigate to the USB flash drive, run setup.exe to start Windows 10 setup.
The exe file is expired message is normally caused by BIOS/UEFI reporting the year as 2099, not the current year.
You will need the Windows 10 installation USB flash drive to be 8GB or larger, though.