Can you restrict access in a shared drive?
Restrict access to that folder so that only users on the distribution list can access it. You can make this a little more complex by changing the tiers of control over the folder. i. Full restriction/access – only those on the list can open the folder and once they're in they can do anything they want.
Who can access shared drive?
Only administrators can manage a shared drive with an organizerCount of zero. Only administrators can access a shared drive with a memberCount of zero.