Hi Aaron,
BIOS updates are firmware updates that are not related to the Operating System. If you have tried Lenovo's Winflash tool and it doesn't work, please check with Lenovo support to see if there is an alternate way (i.e., booting from an USB disk) to update the BIOS for your Motherboard model.
The best course of action is to contact Lenovo support or post this in their forums. The following links can be helpful.
HOME - English Community - LENOVO COMMUNITY
Lenovo System Update: Update Drivers, BIOS, and Applications - Lenovo Support US: https://support.lenovo.com/us/en/solutions/ht003029-lenovo-system-update-update-drivers-bios-and-applications
How to update system BIOS - Windows - Lenovo Support US
While the above is not a Microsoft website, it is the official site of Lenovo.