How to prevent failure email from being sent?

Hey guys, My service sends out emails every few days to members who wish to have stats sent to them. The problem is once an email becomes inactive, I the webmaster gets a failure email sent to me. This is starting to add up and I can get upwards of 20 of these a day. It just seems likea waste of space and bandwidth... is there anyway I can prevent this? If i delete the webmaster email key in php.ini will my emails not have a reply address? Thanks! - Noah webmaster@trademytraffic.com