Is HKG-JFK-JAX an option? I think that would be the fastest. With all those transfers, you must be looking at a 24 hours + travel day. If not I'd probably go through DFW as it would be the shortest time I think. The one with MIA and STL both are "dog legs" that basically get you close but are a waste of time. The others might work, though I second the call on LAX kind of sucking.

If you go on AA, see if they have an YUP fares to JAX. YUP is a Y class ticket upgraded to First. Basically, you can fly roundtrip coast to coast (**from select airports**) for only a little more than flying coach (like BWI, EWR, SJC, etc). Might make the trip a little easier.