I've been lurking on this thread trying to come up with a useful idea.

Make a bootdisk with some other windows box, make it a bootable disk when you format it. Then load those files on it.

If you can get into the setup turn off all boot devices except the floppy.

I would disconnect anything but the keyboard, video, and floppy disk. I would run only one bank of memory. (I don't think you need a mouse for the flash)

Then do the BIOS flash, if you have the option to back up the old BIOS, do so.

Most BIOS will do a self discovery, but you will want to back into setup when you connect everything back up and make sure devices and boot order are correct.