RAM drive FTW!
If your GTX 670 is of the SuperClocked variety, they have a high failure rate. EVGA will upgrade you to a FTW edition for free, assuming you didn't violate the warranty.
The beep sound means the POST is passing on start-up, so the video card is indeed most likely the culprit. Make sure it's seated and the power connectors are installed snug. If you have another video card to swap in, or another computer to try the suspected bad one in, that'll give an answer pretty quick.
My card is the FTW version sorry for not mentioning that part