Once the child is accepted at the elementary – younger siblings are automatically accepted also. And they’re in to that middle and high school. (So choicing into Birdrock will ensure your child can go to La Jolla HS.)
Consider also applying for magnet schools that feed into relatively better high schools. Spreckels, in UC, is a magnet – and it would ensure your child went to Standley middle and UCHS.
You can apply for BOTH magnet and choice – so you double your odds of getting out of your home school boundary.
