I don't think this will work mainly because the stances will still favor Fists of Fire for the damage buff. It's just an unwinnable situation as long as Fist of Fire provides a damage buff and the others do not. There's literally no situation in which you would prefer one of the other stances over Fists of Fire.

The concepts are interesting, but you have to remember that Monk seems to specialize in damage against a single target as well. An area based stance just seems contradictory to the class.