If they are all to a specific address remove it and they will bounce. Or you could install user manager from dungog and use procmail to either put all emails containing a certain subject, recipient email, sender email, custom header filed into a folder or even just delete them.
I have just noticed at the bottom of the criteria list it says "from a mail daemon" cant have looked much further that subject before (use it to sort mail from lists).
Although be careful about using the MAILER-DAEMON text or the last option as they will presumably deal with legitimate bounces from wrong address etc.
Jimbo