I don't have specifics, but I'd look in Santa Monica on Ocean blvd (assuming you mean LAX?). There are a lot of nice hotels there - and it's not on top of the airport, but you could probably get there in 30 min or so ( plus parking, returning the rental car -and then depends on the time of day for traffic of course).
We ate at the Viceroy the other night (good restaurant) - looked very nice. Kind of trendy - not on the beach side of the road so may be in that price range.
There's a neat pedestrian only shopping area near there called 3rd St Promenade too.