Archive Nurture Stream?

Hi all, 

I have an old stream in an engagement program. I'v got it paused & I've got the old mails in an archive folder. But I was wondering if it was possible to archive the stream...

I want to retain the stream's performance so I can use it in reporting, but the stream is dead & won't be reactivated. So I'd like to clean it out of the view. If you can't archive it per say, then what's the best practice here?

Any tips would be greatly appreciated. 

-Troy