Have you considered CX898 (the early morning flight)?
While i do sleep well in flights, the early morning arrival in LAX gets me to kick jetlag by making sure i get to do good use of the whole day before sleeping well at that night. The other advantage is LAX is very light before 8am.
I also agree with RevJim, it now depends on how well you can sleep inflight.
Last edited by cartman7110; Apr 5, 2015 at 2:00 pm