If I were you I'd use a hardware KVM device that goes to a single input source on the monitor and keep the monitor always-on with a black screen saver to prevent burn-in.
I was in a similar situation when I wanted a easy way to switch between speakers/headphone at any time without messing with settings or apps. I ended up using a physical switch. https://www.amazon.com/gp/product/B008BMLXAU/
I was in a similar situation when I wanted a easy way to switch between speakers/headphone at any time without messing with settings or apps. I ended up using a physical switch. https://www.amazon.com/gp/product/B008BMLXAU/