By the way the link you sent me is for EVGA cards BIOS. Didn't you say in your original post you had a Gigabyte???
Even when I change to Gigabyte, there is no new BIOS version available there for the 780??? They're all version 1 (original version). For instance, if you have the reference card, you cannot push the BIOS of a Gigabyte WindForce OC since they have different fan profiles, it will not work or will cause major problems.
What BIOS version did you try to push exactly??? No offense, but now I think BigMack70 can really laugh at you. As I said flashing BIOS is usually safe but you need to know what you're doing first and be 100% sure you're pushing a compatible BIOS otherwise it's very dangerous.
Anyways, if all you wanted to do is a slight overclock why didn't you do it manually? It would have been a lot safer and simpler.
In any case, I read more about the guy procedure and you just need to go to the last part at the bottom of the page called "Simple Blind Flash Method". It's called blind flash because you can't see what's going on the screen during the procedure. Or he also mentioned it's possible to get a display from a PCI video card at the same time there's a PCI-Express card plugged in (so I guess it doesn't work with integrated graphics).
http://www.bjorn3d.com/2010/04/bootable-usb-drive-flash...
Good luck.