The thing about technical jobs is that it doesn’t matter one bit where you graduate from. The salaries are adjusted to the cost of living. A $100k salary in Silicon Valley is worth about $55k in Austin, TX. That’s still an entry level salary either way. Plus, $35k a year from your parents won’t get you very far in a place like Berkeley. You’ll be taking out a lot of student loans, especially for living expenses.
If I were you, I would go for as little debt as possible. There’s no shortage of tech jobs.