You are allowed to take 6 flights in North America; but perhaps you have two already identified and you are referring to 4 remaining; or perhaps you are up to your 20 segment total limit. Regarding getting across the country it can be done easily based on where you are coming from. Then again I don't know if you are possibly trying to maximize mileage, as opposed to just getting to your AUA destination. Based on my assumption that you are flying east since you are trying to get across the country I will outline a few options based on assumptions listed at the beginning of each.

1. Flying east from Asia. Out of NRT fly AA to JFK. Out of HKG fly CX to JFK. In both cases connect to AUA flight out of JFK, but make sure you arrive in a manner that allows you to take the Saturday only flight from JFK to AUA. If you are doing Asia followed by Oceana/Australia you are allowed to do these continents in any order - in other words you can do Australia first and then Asia. You can also maximize mileage accrual this way by doing Europe - Australia/Oceana - Asia - North America - Europe.

2. Another way to maximize mileage is to fly HKG to YVR, then do an Alaskan Cruise followed by an ANC to DFW and on itinerary. Bad news is that the ANC-DFW flight is Domestic FC w/NO sleeper seats. But then again I don't know what class you intend to travel. Unfortunately there are no ANC -> JFK flights even though CX route maps indicate there is - if you find out otherwise please let me know. Obviusly this later option does not solve your AUA problem of getting there in the least number of flights, but it does provide another option for visiting someplace you would not normally consider and at the same time give you a bunch of mileage accrual (ANC -> DFW 3043 miles) and this is not considered a Trancon.

Another way to maximize mileage accrual is to fly to Europe from the west coast and fly from Asia to the East Coast (previously mentioned). Well, hopefully I have given you some things to consider; but my guess is that these weren't quite the answers you were looking for. Oh, BTW if you are flying west from Europe I believe there are some flights directly from LHR and MAD to Caribbean/CA destinations (MIA, SJO, SJU, and SDQ to name a few).

Good luck.