This close to departure you need to be very very lucky to get business class awards on NZ between USA and NZ.
Keep trying, you could get lucky.
Be flexible - eg route via HNL or one of the islands (NAN or RAR or APW/TBU) - although these have the old business class not new. If more than one pax consider separate flights. Be sure to check flights from LAX and SFO and YVR to AKL (YVR isn't daily).