[Ken Case]

I have a People context tree for individuals (with entries like People : Omni : Michaela), and a Teams context tree for teams (with entries like Teams : OmniFocus or Teams : Managers). When I'm meeting with individuals, I look at their individual context; when I'm meeting with a team, I look at the corresponding team context.

I'm not saying that you have to have a whole separate context tree for your teams (I participate in a lot of teams), but have you considered using a similar approach of using a separate context for your team?