Booking AA flights on LY.com
Needed to book TLV-NYC-SFO in C
LY allows JFK-SFO on B6 (booked into Y) or EWR-SFO on AS (F recliner seats).
Travel agent got me JFK - SFO on AA (C - lie-flat seats) for exactly the same price.
The only downside is that I don't get any matmid points for the domestic sector.