I have HND-ORD booked. if i want to add an intra-asia flight to HND without +20k points, are the only options China/HK/Taiwan/Korea?

Also, some routes seem dominated by CX and availability is wide open. Others are JL and wide open. Anyone know if there is ever JL J availability from PVG/SHA to either NRT/HND? Right now it seems to be CX only