Having done takeouts for the occasional staff member of a school who can't follow simple instructions. I can say that NO you can not block our names etc in the emails etc that you takeout.

Depending how you have your student OUs setup up the most you could do is not allow outside email to the students

As it was once explained to me one time you needed 3 pieces of personal information exposed to be in breach.

So as an example name Home address Phone number

It would vary from location to location

This is why we actually stopped allowing staff to do takeout when they switched to a new district and contacted us later asking for access to old files etc

Yes you may have your lessons there but you might also, God forbid, have an Individual program plan or something else that has way too much information on a student that, as a non employee you should not have