You can only apply one Owner to one Deployment. I have the same Problem here.
My Workaround was, I create for each teams a Project and define access trough Member-Roles (AD-Groups), and Policys for action (Day 2 Actions/Power, Snapshot, Sizing, Delete etc.) and catalog-Items (Content Sharing/Deployments) for Members, DBA or Super-User.
I think, the best way for us was to record everything and then create a role concept and then apply to vAA. Implementing the role concept was a bit tricky, as VAA has some difficulty mixing roles and AD groups with soft and hard policy.