I'm born and raised in Southern California and I don't have a drawl. Please!It's one of those accents, like a California drawl, that makes people sound stupider than they really are.
As opposed to, say, a smooth mid-western clip like Walter Kronkite, that has the opposite effect.
It's everyone else from everywhere else that have accents.
Did you not know that So. Cal. is the center of the universe? Pffft.