When you see this happening, you need to reinstall the same BIOS using the BIOS Recover process. This process is documented here: Intel Desktop Boards Recovery BIOS Update Instructions.
Hope this helps,
No it does not help.
I'm very familiar with the recovery process. As i wrote, no action is possible , since after the 3 beeps absolutely nothing happens. There is no USB access possible.
If I remember correctly, the Flash ICs (not EEPROMs) are of different sizes. The upper part of the firmware address range is in the smaller of the two Flash ICs. Regardless, there is no way to copy the flash ICs from another working board as this would copy the personality of that other board (board id, board revision, serial number, UUID, MAC address (though that is separately patchable), etc.). Obviously, you don't want that.
I just realized that (I think) I know the cause of the original failure. Had you installed the ME (AMT) firmware update that was released in May? If so, you were supposed to have the very latest BIOS installed before you ran that update. If you didn't, there would be a version mismatch between the BIOS Update and the installed ME firmware...