I hate to say it, but it sounds like there's the possibility of GPU failure. (Although, they often won't even boot when the card completely fails.) When it won't even display the BIOS screens, it's not Windows, driver, or software. If it's under warranty, sounds like you may need to RMA it for GPU or M/B replacement. 😞
EDIT: Another real possibility, now that I think of it....and this would be GOOD news!....is that a cable has just come loose. In every actual GPU failure I've seen, and I've seen several, there are warning signs like flickering, often for weeks before the final failure. Also, as I mentioned, the BIOS should pick up a truly bricked GPU, just blurt out some diagnostic beeps, and shut down. The one thing that doesn't support this notion, though, is that you can't get an external monitor to work. (I'm assuming you had it already set up for an external monitor?)