Continuing to think outside of the box...
I haven't priced tickets to Asia in years. Used to help family get to and from. $2000 is steep but in the past, Asiana, maybe Korean, China Airlines & Eva Air used to be a few hundred $$ cheaper than the Cathay and Singapore Airlines of the world. Obviously, you may consider Philippine Airlines. Occasionally even the expensive names like Cathay will have a fare sale. The mainland China airlines might be cheap but not sure if you'll run into visa issues as a transit passenger. Also, routing thru the middle east like on Kuwait Airways, Qatar or Emirates. Another alternative is Hawaiian Airlines from HNL. You might save a few bucks if you can nonrev to HNL but in the summer, those flights are full as well.
If you go the SYD route, you could purchase a cheap ticket on Jetstar from SYD. Back to DL, you may want to look into pricing tickets to NRT from cities where there is more competition like JFK, LAX or SFO instead of from ATL. Or from ATL, see what ATL-DFW-NRT costs you on AA or ATL-IAH-NRT on UA. As rma suggested, sometimes fares on the majors from European cities might be cheaper.
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