In our organization, people mistakenly send email to the entire IT Department for situations that are more appropriate to email the IT Help Desk. Our IT Director made the decision to block everyone from emailing the IT Department distribution group, but we want to keep the group for intradepartmental communication. So simply deleting the group is not an option.
I've hidden the distribution group from the Global Address list to discourage new offenders. For the people who already have the address in their auto-complete, I've created a Transport Rule to accomplish the goal. This is how it reads:
Apply rule to message
when any of the recipients in the To or Cc fields are IT Department
send Delivery not authorized, message refused to sender with 5.7.1
except when the message is from member of IT Department
I should mention that I am an Exchange novice. The bounce back portion of the rule is the default one that appeared when I took a guess and checked the box for "send bounce message to sender with enhanced status code" assuming that's what I wanted to be done. The rule functions except for the bounce-back. The entire IT Department is not being disrupted for every little issue, and we are able to email each other from within the department, but people from outside the department didn't know that their messages were being dropped silently.
For the time-being, I added the following portion to the rule so the emails don't just disappear.
and redirect the message to IT Help Desk
So for now people will continue to get serviced by the IT Help Desk, but they will never know that they're actually emailing the wrong address.
I double checked the settings under Organization Configuration -> Hub Transport -> Remote Domains to verify that "Allow Delivery reports" and "Allow non-delivery reports" are both enabled. That's about the extent of my research thus far.