I recently booked a similar trip, and leave in a month. The flights were the biggest challenge. We had AA miles like you, so I'll explain how I found my tickets. It's 75k miles for each person round trip. You'll need to transfer some points.

Sign up for expertflyer.com, or at least the free trial, so you can find award flights. Search TN for LAX to PPT & back. There were very few options for flights, but I ended up finding two choices that both gave us 10 day stays. I couldn't book online at AA.com, so we had to call in & pay the phone in fee (I think it was $25 each).

Since we're based in ORD, we had problems finding award saver availability from ORD to LAX. The "best" option we found was flying to LAX 4 days before we flew from LAX to PPT. We setup EF alerts for the ORD - LAX flights, and were able to change them to the same day.

In regards to the hotels, the Hilton Moorea was a lot of points, but we are going in peak season. Hopefully you can find something with a lower redemption value. We emptied our Hilton account, and after 2 nights at the Hilton are moving to the IC Moorea. You can transfer Chase UR points to Priority Club & the IC Moorea is 25k points per night or 15k points + $70. Sign up for IC Ambassador and I've read the odds are good for an upgrade.