Promoting extractions when working with a mail house

For those that work with a mail house for direct mail, how do you deal with the lag between providing data to the mail house and the data that actually makes it to the recipients after late suppressions?  I'm currently promoting the extraction when I send it to the mail house, in order to generate source codes, but then we do a late suppression a month later and the promoted lists are no longer accurate.  Can you generate the source code by using the Outside Flag check box, then promote the final list to that segment later?  

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