@Matroix
It sounds like you could pull off a Cal State with your budget. While there are challenges in the Cal State system, CS Poly SLO is highly regarded, and Cal State Pomona also has a very good rep (and has a decent residential population.) I’d also look at San Diego State. About 20k+15k rm/board=35k OOS, San Diego as a city has a very good tech/engineering and Med Engineering culture (although more centered at UCSD, but there is plenty of cross-pollination.) SD State doesn’t have bio-med engineering, far as I know, but have ME and other “regular” engineering. And San Diego is as “California” as you can get in a lot of ways. San Jose State is also well-regarded for engineering, has a bio-med engineering major and minor and is in the “bay area” and has access to the tech community. SJSU’s rep has been rising lately. Cal State Chico also gets mentioned for engineering but I don’t know anything about it.
Additionally, if the total costs were close but a bit over what your parents can afford, you can get student loans to gap a few thousand per year. If you are confident you’ll complete an engineering degree, taking on a bit of debit is probably not the end of the world, but I’d only suggest a few thousand. year. You can also work summers or even a bit while at school. Won’t kick in a lot of money, but with 45k from your folks, you’re close to the sticker price on schools like UWash and a combo of loans and work might put you over.
And lastly, it’s not something you can count on, but if you were to need/want to gap a full-pay situation with loans and work, you should also apply aggressively for all outside scholarships. If you’re not getting non-merit Fin Aid they won’t work against your aid package, and anything you might get could offset loans.
So if you were really set on CA I would suggest:
A few Cal States (look on-line and see if any appeal to you. One thing to keep in mind, as noted above, getting out in 4 years could be a bit challenging, but you will have some financial wiggle room as they are 5-10k less than your budget.)
Give USC a shot (as long as you know that if you don’t get good merit aid, you won’t be able to attend and can live with that.) You have to apply early (Dec. 1st I think) to be considered for aid. It’s very competitive, but you could give it a shot.
I would also look at Santa Clara and LMU. I’d guess you have a slightly better chance for merit aid there than USC, and while it’s still a long-shot (just merit aid in general, not you specifically) as long as you are prepared to say “no” to the school if you don’t get it, no harm in applying. If you happen to attend a jesuit school, there are more merit aid opportunities at LMU.
Those schools would be my suggests to look at. You would have a very decent shot at San Diego State, San Jose State and LMU, decent shot at Santa Clara and Pomona. USC (esp if you need 1/4 tuition merit aid) and Poly SLO are more challenging.
Good luck