LAX hotels generally are available for $35-50 on weekend nights on Priceline. If you can get BOTH nights for under $100, that would free up some $$$ for rental cars when you need them.
If you want to stray from LAX (and have easier access to nightlife), the Hyatt West Hollywood generally comes in at about $50 a night. Several 4-star properties near Beverly Hills can also be had for $80-100 per night.
Check biddingfortravel.com to see what others have successfully bid @LAX.