Since the Maldives are essentially on the opposite end of the planet for Americans, it's pretty much a toss-up as to whether you should fly east or west.
Our flights were sponsored by Cathay Pacific, which provided a nice business-class respite for what, because of a strong headwind, turned into a 16-and-a-half hour flight from Los Angeles to Hong Kong.
Cathay Pacific's Boeing 777-300s offer roomy cubicles, all of which exit to an aisle. They are set at an angle, so that even when you are sitting up for takeoff and landing, you can't see your fellow passengers unless you purposely lean forward to have a conversation. And when the seat is in the flat position, you are comfortably cocooned below the barrier separating seats in the middle row, with your head also comfortably behind a barrier to the aisle.
The food and service was exceptional, and Cathay has four lounges in Hong Kong that offer a range of options for resting, dining and cleaning up in comfort.