We did this exact same thing last March and it worked perfectly. Cortrans was even early and called to see if we were ready and since we got to the airport early due to magical express, it worked out even better. They were really cheap too, I think $20 each way per person and the driver was awesome. To be completely honest - they pick up from both terminals at the airport so if you can just get to the airport, they'll tell you where to meet them.