LAX is about the best that AA has, so given that you are from LAX this would be a good choice. Otherwise the NYC CTO by Grand Central is best. None are great and it mostly depends on the agent that you get. My own strategy with complicated rewrites is to use CX, go to a CX counter during another trip and have them take the details and fax a copy of the ticket to HKG, then do the rewrite the next day in HKG airport by CX after they have had a day to research it. Usually gets done within 10 minutes this way with very gracious service.