Wirelessly posted (BlackBerry8530/5.0.0.601 Profile/MIDP-2.1 Configuration/CLDC-1.1 VendorID/417)
Assuming that you could find award seat availability on all flights, AA should permit an overnight connection at LAX, as long as you adhere to the last flight in/first flight out rule. Such connections might not show up on aa.com, so a call to AA reservations might be required.
Also, I'm not sure that US Airways currently offers one-way awards, so that might be a problem if you want to use AA miles on the outbound, and US miles on the return.
By the way, did you know that AA now serves ABE also?