Head over to SSR, to the DVC centre there, you can get a card reprinted; if you can call in advance they can probably preprint them and you'll need to show ID to pick them up.
I guess I'm missing something-I honestly don't know why you need to bring your DVC card with you. For any discounts, I just showed my room key-that has DVC member printed on it. And when I got my Annual Pass, since I'd forgotten to bring my DVC card, they took the membership # from DH's card. If I'd been traveling alone, I could have gone to the member's website, logged in, and gotten my member's # off that. Then a driver's liscence would verify that it's me. Is there something I'm missing? I admit that it's possible-I never realized the importance of having my ID with me until guest services refused to sell me a TIW card without my ID.