Options for BIOS recovery in most cases:
1) use an EEPROM programmer like the TL866. Essential kit if you mess around with vintage stuff a lot (not just for this sort of situation, but also to make bootROMS for cards, test SRAM and 74-logic chips etc etc)
2) hot-flash on a different board that supports the same EEPROM chip and a not-too-choosy flash tool (eg. most low end boards and UNIFLASH)
3) bootblock procedure for your BIOS vendor (Award in this case).
I'm assuming you don't have an EEPROM flasher, otherwise you wouldn't have started this topic. Still, once again: order it even if you fix this using another method. Given my hatred of floppy drives (and their media) I generally used to hot-flash before I got my EEPROM programmer. It's theoretically risky but so long as you have minimal hand-eye coordination (and are not drunk when doing it), your board and chips should be safe. Nonetheless, the fact it generally works better on generic low-end stuff than prime high-end boards (with non-standard BIOS stiff - like Asus too often did) is a reassurance.
To prepare, check that the board you will use to flash is actually working and put the ROM image onto something it can access from DOS as well as the UNIFLASH program. Then turn it completely off and loosen its BIOS EEPROM in its socket so it does still (just) make contact, but can easily be lifted out when needed. Then boot the board into DOS and navigate to where the ROM image and UNIFLASH are stored. Now comes the tricky bit: while the system is still running, pull its BIOS EEPROM out of the socket. Then gently and carefully insert the BIOS EEPROM you need to recover. Be sure to get orientation right - don't look at any stickers, only look at the notch at one end. It must line up with the socket. Then flash the chip (UNIFLASH -E IMAGE.ROM).
No errors while flashing? Congratulations. Turn off the flasher computer, remove the EEPROM, put it back into the board you were recovering and see if it works.
Errors? That could have three reasons:
1) doesn't even start? The board probably doesn't like UNIFLASH (try another), or there's a write-protect/enable jumper that needs setting
2) starts but shows errors everywhere on verification? Same.
3) starts but shows errors in one specific spot on verification? Probably your EEPROM is dead. Try another.