I completely get trying to make your wife happy but chances are when she gave you that answer she really didn't have nearly the information that you have now or the information many have on this board. If she really understood the travel time involved, and cost and the limited amount of time you have to travel, would she still do it. Lots of people dream of Bora Bora but its really not feasible for most.

First: 7 days including travel time is just too short. You will be lucky to go door to door in under 24 hours and that is doubtful. I doubt you get anything more than 4 full days. Just not worth the time and expense that you are going to incur.

2nd: understand how expensive bora bora is. Just know that you are going to spend a ton. Do you want to be somewhere where you feel you can't afford a decent dinner.

IMO, south Pacific needs at least 10 days and ideally two weeks. This applies to much of Asia. The Hilton though is a good value there. Its Starwood that has some outrageous points requirements. Personally I think you should get more time off or go somewhere closer. Just think the vacation will be more memorable and you won't blow your whole points savings on four days.