For the longest time, I always took the midnight flight out of HKG and arriving LAX at around 8pm-9pm. I would struggle trying to sleep upon arrival and fail miserably often staying awake until 6am thru the night.
Last year, I tried doing the afternoon flight that leaves at 4:25 and arrives in LA around 3pm. This seems to be better for me as I can keep myself awake upon arriving in LA by keeping busy with errands and what not. By the time 10pm hits, I am so sleepy that I get a full night's sleep and ready for the next day's activity.
The morning flight, I just tried two weeks ago and again, if I can keep myself busy during the day, the first night's sleep is easy to come.