If you wanted an actual copy sent you could add "Email Address is...(the email address of your archive) Smart List criteria to your sends. It's a fairly manual process, but it accomplishes what you are looking for.
Justin
I feel like you could solve this by adding yourself to the lists that are included in your email sends. Perhaps you can create a segmentation around 'valid', 'invalid' and 'internal' email addresses. Then, with each send, you could select 'valid' and 'internal' in order to be included on the right sends. Although you'll have to audit this smart list, it would accomplish the general 'cc' of what you're looking for.
Another (more manual, but effective) way to track this would be to create a google form where all emails to be sent are requested. If you include copy and fill in the results (IE # delivered, # opened, etc.) afterward the send you'll end up with a very thorough snap shot of what's going on email-wise.
Hi Christina, I moved your question to a better location so that more people will be able to access it.