Have your administrator(s) set up an Outlook account specifically for this purpose. There will be a resultant InBox for that account, but you never have to read the emails in it. Plus, you can set up an Out of Office response for that InBox to tell users that the mailbox is not monitored, contact an administrator for assistance.
So, you'll have an account with a meaningful name (like
[email protected]), an InBox that no one needs to monitor, and a response mechanism to get users to behave themselves.