Seems to me music would be a distraction. And make it harder to understand each other even without some form of hearing loss. That is, if its loud enough to be above just background noise.
And even if you managed to have your music cued up and ready to go, and easily got it going, getting anything resolved in the time it takes for that music to play is going to be impossible.
Maybe if you practiced a set speech before hand, and timed it to the music, you might get a good effect. But that seems like a lot of work for a chancy payoff.