There is actually already an option for that in the game itself. Well, not exactly like that, but hear me out.
Go to system options once you are ingame and head over to audio. Enable the game to keep sounds on while it is in the background, but only keep systemsounds checked. Now when you alt tab, you will always hear that queue pop sound. Just amp your speakers up a little so that you definitely hear it when you are just a couple rooms away.