HeroQuest appears to be very good for your needs. Character "stats" and "skills" are simply whatever they decide to make them, and the GM determines how appropriate they are for the situation. Combat is nothing more than an extended contest, and so you could easily stage a 'duel' between competing orchestras just as easily as getting into a fight.

Do note that HeroQuest runs off of dramatic convenience, and the target difficulty values are provided to encourage successes/defeats based on the direction and mood at the table. You could certainly set your own difficulties, in order to make the world more organized, but you'd be doing a lot of the work yourself if you wanted to.