You may want to set up your system so that when staff are done with a packet, they can submit it for review by a supervisor. You can do this by using the "Ready for Review" status.
When setting up permissions for your staff, if you leave "Publish packet" unchecked, instead of seeing a link to publish the packet, they will see a link to mark the packet as "Ready for Review".
When you click on "Ready for Review", the status of the packet becomes "Ready for Review" and notifications will be sent to whoever has signed up for the "Packet Ready for Review" notifications.