MYNA might be good.
SAMN = salmon? Strong fish that fight the current.
ANME = anime (lol) or enemy if you pronounce it right.
ANMA = anima sounds pretty cool and has a cool meaning

Also, crazy idea, any chance people would want to change their names so your team name could be HAZE? Just throwing that out there. XD

Edit: I kinda like ANMA actually. Hero, you could even change your character name to Audette, and it would almost be like you had the name you started with. It even means noble... which... well... considering her history, it's fitting.

Of course that's only if you're all interested.