I'd say good options would be to minimize to the system tray and possibly even hide the icon completely (maybe a hotkey to make the icon in the system tray visible again). Honestly I'd never use the GUI unless I had a way to hide it completely. A scheduler may be nice for those who run them on family/friends or work computers, that way it works only at night when they wouldn't be using the system.
I know you have a screen saver already, but what about a GUI version that will kick in after X minutes of inactivity and turn itself back off when the user is active once again.