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Conserve your dwindling resources, and book the cheapest flights, but make sure that your daughter enrols in the FF programs of all airlines she flies. With 3 round-trips a year for 4 years, she can amass miles in different programs if need be. I think that AA and UA offer the most seats from HNL to the mainland, although they may not be the most convenient ways to fly between HNL and PHX. If AA is a reasonable option, check out the AA forum here on FlyerTalk, where there are details of a promotion for the AA/Citibank credit card, which is offering waiver of the first year's annual fee, and a boatload of free miles. It may be the best credit card deal out there right now.