I wouldn't bet on WINE. I just checked; It's possible to download a Windows 10 ISO directly from Microsoft. You can do it even from Linux. (website complains a little but still lets you do it)
Use the Windows program Rufus to get the ISO on a USB-stick.
When you install skip activation. After installation you should be able to use it for 30 days or something like that. Enough to update the BIOS.
It seems you are not the only one doing this 