I am in the same situation. I am the petitioner and my fiancé is in the Dominican Republic. It took about 6 weeks for the NVC to send the case to the consulate. I contacted the NVC through the public inquiry form to get my case number since they didn't send anything to me or my fiancé. The NVC sent the case to the consulate, and I have a case status of "Ready" when I check the CEAC website, but I have not received anything in the mail yet.