With the 181k in AA you could do JL J or JL F ex-JFK. It's 60k/person for J, 80k for F.

Much better than any AA option and they have decent availability (you can probably even find 4 J if flexibility which would come in at 240k AA - you can pick up a Barclaycard AA with 60k after 1st purchase and $95 annual fee).

Search for availability on Alaska website or British Airways. JL flies planes with good J (e.g., lie-flat instead of angle-flat) out of JFK, ORD, LAX, SFO, and BOS so check those and with AA be prepared to pay out of pocket for positioning flights due to lack of sAAver availability.

Something like:

JFK - HND - ICN