I used to walk to Lot C all the time because the shuttles were infrequent late in the evening (or would be full and just drive past T6 & T7. The down side of lot E is that it's a much longer walk than C was. I recently had a personal trip ending late sunday night, with work travel early monday so I burned some points and stayed at one of the hotels just outside the airport on Century and walked to/from it. It's an easy walk and faster and more reliable than dealing with buses.

I'd find a way to bike at least partway to LAX if there was secure bike parking or it was easier to fly with a bike (I don't want to spring the $$$ for a folder with a trailer that becomes the travel case).