Amother option to check out, since you have an AmEx platinum card, is the two-for-one deal they offer for business class travel if you use their travel agency. Might get the cost within reason, especially considering that it would give you complete control over travel dates and a wide choice of airlines with convenient routings. It also might enable the person whose name is on the paid ticket to earn first-tier elite status with the airline you fly based on that trip alone, as well as picking up enough miles for at least a future domestic US round trip.