About 2-3 weeks.
We will probably call or e-mail you and ask you to send one or attend our club monthly meeting to get your card. It's an admin headache to add addresses to envelopes, and buying envelopes and stamps. So, we stopped doing it. When you send a SASE it shifts some of the admin work to you and gets you your membership card faster. It also keeps your membership dues at the same price as if you went to a monthly club meeting.