You can certainly have heads without features. Just don't tag anything as eyes, and ch will not attempt to animate them.
In terms of head being separate, there are several ways of doing it. You can put a Tranform behavior on it and move it. But i suspect you want the body to move without the head moving when disconnected? You can do that with magnets in Ch, but personally what i would do to keep it simple is consider having a puppet with just the head, and another puppet with full body then use triggers to hide the head on the body then make it visible on the body at exactly the same time the other one disappears. Sometimes it's easier.
However if you want live-streaming, then i would read up on magnets. I would attach the head to the body using a magnet. Then it can be independent initially then connected when magnet is turned on. There are some good videos on magnets from adobe.