I have found that Red Stars from mypetchicken.com are the quietest chickens. You'll want 3 or more though because they do NOT like to be lonely while the other chicken is laying if you have 2. They chatter if you go outside. They can make some noise while trying to lay. I felt sorry for one of them always making this in labor like noise but it wasn't loud. They never cackled after laying just if left alone or couldn't see the other chicken for a few minutes.
My experience with EE'ers was 2 out of 3 were noisy. My favorite one never made much noise at all but she died for unexplained reason last summer.
Australorps are supposed to be quiet but one of mine was making so much racket when she first started to lay that she got all the other girls hollering for hours on end and I gave all 6 away with the coop determined to not get any more but now I'm looking for local bantams to avoid minimums and freight to see how my luck goes with those. If they are noisy, I'll buy more Red Stars from site above since their minimum for my location is 7 so I can get away with ordering so few.