How can I maximize miles for a PHL - PHX trip I have planned for Nov. 7 - Nov. 10? I have some flexibility in flying from nearby PHL airports (LGA, JFK, etc.).

I would like to spend the least possible $$ and prefer American Airlines. Ideally I would like to go through LAX, because I think I can get some extra miles that way...

Any ideas? I am somewhat flexible in the days, +/- 1 day would be ok for a lot of extra miles

Thanks in advance.