there are a couple of Best Westerns they can run around $65 and you get 250 miles if you join Gold Crowne Club . They shuttles not sure if 24 hr, I stayed at them yea they're dumps but got the hot shower and a few hrs of sleep
i found that the low rates from yester year are just that, the rates have gone thru the roof at most places.Ex The 4 Pts was always around $59 now youd be lucky to get $95.
Also check out Roomsaver.com there are usually a few counpons for the LAX area, call 1st to make sure they have a shuttle, those counpons are walk in Only