Unfortunately, my memory is getting fuzzy about this model, but if you haven't tried using older G75VW bios files with ctrl+home, that's another idea.
Otherwise, if you're able to safely unsolder and resolder the bios chip that may be another idea to consider as long as you can find a good bios chip to use.
Also, a reminder to make sure it's really a bios-related issue, otherwise, you may also want to do some general troubleshooting to make sure the problem isn't caused by something else.