If it's from the speakers... You potentially could have a faulty board.
I've never heard of a bad HDD emitting a screeching sound from the speakers...

Furthermore, the hard drive spins up almost right at power start-up, so you should get the sound right away, not only until the "Windows is Starting Up" splash screen, correct?
Faulty hardware can keep Windows from booting. The repair screen will come up after an unsuccessful boot or incorrect shutdown either way.
But I suppose the end result is the same... RMA!