I would be more inclined to suggest looking at changing your route so you went to LA from your previous destination (unless you were wanting to be in SFO specifically).
My solution for a similar issue was to change my other flight from calgary to SFO to now land in LA (was on a seperate booking to my main trip). Failing that, if you didnt want to be in LA for that period, and you had a car (or hire car) its not a horrible road trip (on the coast road via Santa Barbara)