Actually, my son applied to LMU and was given an opportunity to interview for a full ride scholarship, so it’s definitely possible to get it below $30k.
Also add Cal Lutheran in Thousand Oaks and Concordia in Irvine to schools with large merit aid (up to full-tuition). Her stats would definitely give her an excellent chance at those schools as well as LMU.
You are probably right about Scripps though, if you don’t anticipate need based aid, the merit alone wouldn’t get you below the 30k mark.