As you know its a long trip to sit down the back for the kids and at least for us its part of the adventure for them to experience J/F on our LH family trips. Since your looking at 3 weeks you have a little more time to recover or add on a couple of days to explore a westcoast city, so apart from LAX you could look at other westcoast with OW directs you could fly into SFO and AS has OAK to HNL, SEA is another possibility. Getting AS avois at their saver rates to Hawaii might be the challenge especially 5 of them. Also July/August is a busy time for Hawaii I was trying to use some Disney vacation points recently and couldn't find dates for family of 5 for more than an odd night in the whole of June/July/August at Aulani on Oahu.