<p>OP, you seemed to be misinformed about Georgetown’s Early Action policy, as it is not binding at all. From their website: “…students applying under the Early Action program may not apply to any binding Early Decision programs since they then would not be free to choose Georgetown if admitted. Students are welcome to apply to other Early Action programs or other Regular Decision programs while at the same time applying to Georgetown’s Early Action program.” </p>
<p>If you are certain that Duke is your number one choice, then I would apply ED (assuming that you and your family will be able to afford it). If not, I think you should considering applying to Georgetown and UChicago EA, as I am :)</p>