My vote is the JW. It has the best location. The Stanford Court is nice, but it's at the very top of the hill, a very steep hill, which you will have to climb at the end of every sightseeing, restaurant and shopping venture.
I don't remember the CL there, but I was there on a weekend, so it may have been closed. The JW CL is top-notch.
I have been UGed to a suite at the JW twice. It's quite swank. Call ahead, let them know it's a special event and see if they can hook you up. (The Pacific Suite on the Seventeenth Floor, if I remember correctly.)
The CY is off the beaten path a bit, but it's usually less expensive. It's one of the nicest CYs. If you've ever been to Weston, FL, it's similar to that property.