La Jolla? It's 125 miles from Westwood and you have to go through the heart of some of the worst traffic in the country.
Many of you don't understand the West side of LA and traffic. 15 miles can take you two hours. Westwood is almost always busy.
Additionally, you can sometimes go 5 miles away from a named area and drop your housing price by 50% or more while increasing your footprint by double.
There are places not too remote from Westwood that would work -
@Pudge Calabasas is only 22 miles away and as long as you avoid the heart of rush hour, you can do it in under and hour. San Marino is ridiculously expensive (median price is $2.9M) and not a great drive to WW. Any coach would need to be sporting a man bun to live in Los Feliz. Malibu and Santa Monica could work but again, very expensive and summer traffic on weekends is horrendous.