Private Channels Visible To All

I'm aware I can create a non-private channel (so it's visible on the side bar for everyone) and change the settings so that only selected roles can send messages and view channel history, however because it is not technically a private channel, incoming messages still notify everyone in the server!!! And they can see them for a moment before they disappear into the hidden chat history.

I think this is super important because I want people to see the channels they could have access to if they subscribed (without getting notified of messages!)