We went to our flight as scheduled and successfully did Option #2. It is doable. I carried a print out of the email from the Consulate and the Carrier Guide that had the Regional Carrier Liaison Group phone number in it. Also, I highly recommend LPRs get Global Entry and upload/scan your documents into your airline accounts using the mobile app so that you can do mobile check-in. I believe both of those things were helpful because we had mobile boarding passes that said "travel ready" and "TSA Pre" before arriving at the airport. Also, I was able to get an appointment for Tuesday at the Consulate in Merida. Technically, that was the next business day. They said if approved, it would take 2-3 days to get the passport with the boarding foil back. Thankfully, we don't need to do that now.