Maybe you could build a couple of gobos (short for 'go-between', a portable partition used when recording to prevent sound leakage between adjacent microphones) to fit in your doorway while you are listening to music that can be rolled away to another part of the room when not in use. You could fill them with fiberglass and put acoustical tile on the surface. Let your wife decorate them to fit in with the decor.
Just a thought.