Yeah, this thought has crossed my mind a few times. The way it works is the new Congregation writes a letter to your old one, or maybe they just call (?) and let your old congregation know you have moved there and to send your card.
What I want to do, and I know this is really tricky... send a letter from a fake out of state congregation asking for your card (sent to your address, of course!). Although how would I know how these letters would look, how they are worded or styled, only a Cong. Secretary would really know how to do it.
How cool would that be to get your card in the mail along with your scandalous letter of "introduction", which is probably lots worse than you could ever have imagined! No card, no record, no disfellowshipping.
Who knows? Maybe that could work!