You can prevent a user from being included in printed mailings using the following steps:
  1. Navigate to Core > Users > Edit User Profile Data.
  2. Search for the User 
  3. Click Edit in the Address box.
  4. Un-mark the Mailing Address checkbox under every address.
  5. Click Save.
User-added image

You would also want to add the following global filter to any list that will be used for a printed mail merge:
User Address.Mail Indicator equals 0