First of all, do they release F to partners? I don't think so.
Would you mind sharing itinerary details? Total hours in transit, length of connection, etc.
Also, 160k is RT?
No F to AS or DL, dunno about FB offhand.
But J is still a good option.
160 each way
Korean Air Lines Co. Ltd. New York (JFK) to Seoul (ICN) - Wed, May 14
Korean Air Lines Co. Ltd. 86 Dep: 12:50AM Arr: 4:00AM 14h 10m
Layover in ICN Thu, May 15 11h 0m
Korean Air Lines Co. Ltd. Seoul (ICN) to Tel Aviv (TLV) - Thu, May 15
Korean Air Lines Co. Ltd. 957 Dep: 3:00PM Arr: 9:00PM 12h 0m