Nonstop flights are already available for purchase for an a spendy $1,400 round trip ticket. Alternatively, flights can be booked with United miles, but they are expensive starting at 80k one-way or 175k miles for business class. Your best use of points and miles would be using the pay with miles function of American Express Membership Rewards or Chase Ultimate Rewards points, which would equate to 140k points or less round-trip.
If you don't mind adding on a connection and saving a few points, then connecting through New Zealand may still be your best bet.
Get your bucket lists ready. I'll keep my eyes peeled for an incredible flight deal on this new route and Premium subscribers will be the first to know. There are plenty of incredible overwater bungalows in Bora Bora and Moorea. I've been looking at using my Chase IHG annual free night certificate at the Intercontinental Bora Bora (lead photo), so this may just push me over the edge. Just need to convince Mrs. TT 🙂