Or take the weekly NZ flight LAX-RAR. Rarotonga has its own considerable charm and beauty, and you could hop on a local flight from there to Aitutaki. I've never been to Bora Bora but if Aitutaki is one of the most beautiful and peaceful places on Earth - and much cheaper to stay and eat in than French Polynesia as well. Watch your booking class though if earning miles is important to you - NZ doesn't give you miles for anything below T.