I've lurked for years, but can't seem to figure this problem out, so could use some member help. We are flying this fall from ABQ to PPT for a trip on the freighter Aranui. The best connections/prices seem to be out of LAX via Air Tahiti (with separate ticket ABQ to LAX) but I can't figure a way to earn miles with them on any program we belong to. American seems to partner with Air Tahiti, but I've read you can't earn miles on American while flying Air Tahiti. We are members in Alaska, United, and American programs with no special credit cards to earn miles, other than points with our bank card. We don't take many air trips anymore - once or twice a year. But, this is a big trip and I hate to not earn miles. It appears that we can book ABQ to PPT on Delta and earn on Alaska but this involves an overnight in LAX for us. Any analysis and advice would be very much appreciated. Thought of signing up for a Chase Sapphire card too.