Lol, well obviously it just depends on the person doing the wearing The one thing I forgot to add was that the CC probably is easier to use. Personally it was never comfortable on me, whereas a newborn in a stretchy wrap is like carrying nothing.

A ring sling can be a really good option for newborns through to older babies/toddlers. A good ring sling that is. Comfortable (though not everyone can do one-shouldered carries) and quick and easy to use (once you know how).
Otherwise you could look into structured carriers that will carry newborns - manduca, olive&applesauce, beco, etc, etc - or some sort of mei tai (which I prefer). What size/shape are you (if you don't mind me asking)?