Your DL status should be reflected on your VS boarding pass (was for me last summer), making the card unnecessary. But it's probably a good idea to print a copy of your Skymiles account page from the website (or have it on your smartphone as someone else said), in case the VS agents need extra proof.
FWIW, the 2014 medallion packets seem to slowly be arriving. I just got my new Plat card this past weekend. So yours might arrive in time for your trip...