I think each exotic should get its own lost sector for the day. I'm fairly certain there are enough sectors to support it. So if today is Helmet, then there should be at least 11 different list sectors available, one for each Helmet. Each sector will drop the designated helm for whatever class you're running, (That would be three different helms per sector) minus obviously the few that would be strictly warlock because they have more.
Might sound like a lot but I think the more options the better. It's not 2002 anymore. Bungie should have the money and the tech to make a game that not only looks and runs smoother than glass but has a brain that could intimidate the Witness himself.