You should shoot for schools where your kid's scores and grades exceed their average. These schools are more likely to push merit / academic money for good students to help their ranking. I've seen kids get 50% academic offers without asking or submitting for financial aid. A school like Chapman will give academic money, but I doubt PP or CMC will (not sure about Oxy but their standards are pretty high so don't hold your breath).
You may also look at West Coast Conference schools - all the schools are private and all pretty generous with academic money to supplement baseball scholarship for players I know that have gone to these schools. Players end up with a very small out of pocket cost.