I did one of the LAX trips. No red-eyes though. Just get in at like 10:00pm, out on a deadhead at 12:30pm the next day. Gives you some time to head out.
I'd recommend going to Pier Ave. on Hermosa Beach. It's about a 15 min cab ride from the hotel, and will cost you about $15-17. Lots of bars down there, and some hot lookin women too. The bartenders at the hotel, the doormen at the hotel, and the cabbies all recommended it. We went to some place called FFFF, but it looked like there was a few better joints across the street. Can't remember the names though. Big lines, sadly.
It was a cool change of pace. Have fun!!