This is how I would categorize your chances at the school on your list.
Extremely Likely (80-99+%)
- Arizona State
- U. of Toronto (from what I understand of Canadian universities)
- New Jersey Institute of Technology
Likely (60-79%)
- U. of Florida: I’ve heard stories about top in-state applicants being denied, but I suspect that you’d get in. But things are getting more unpredictable here, and I would also suggest that you look into the situation between the state government and the public university policies to see if the situation would be a fit for you.
- U. of Washington (assuming this is the UW you meant): That categorization is for acceptance into the college, but if you’re looking for direct entry into engineering, the odds would be lower (but I’m not sure how much lower). Just make sure you realize that even if you are accepted direct into engineering, you are still not guaranteed your choice of engineering major…you’re only guaranteed one of your top 5 choices of engineering major, and selection is done holistically, not based on GPA or similar (source). If that does not sound appealing to you, I would reconsider UW as a choice.
Toss-Up (40-59%)
- Case Western: If you can really convince them that you’re interested, then I think you have a pretty decent shot here. But they have a high bar for being convinced when a student has stats as high as yours are.
Lower Probability (20-39%)
- Boston U.
- U. of Michigan
- UC-Irvine: Based on the info provided by @Gumbymom
Low Probability (less than 20%)
- MIT
- Rice
- Duke
- Vanderbilt
- Cornell
- UC-Berkeley
- UCLA
- UC-San Diego: Based on the info provided by Gumbymom
- UT-Austin
Would you be happy to enroll and attend the schools I categorized as Extremely Likely for you? If so, I think your application list is fine. If not, I’d consider finding alternative schools for any that you wouldn’t be happy to attend.
I understand that your family doesn’t want to pay “out-of-state” tuition for a non-Top 15ish institution. But would something that would be at or below the cost of a UC work? Also, as @DadTwoGirls indicated, if you’re thinking about medical school, your family may want to be budgeting for 8 years instead of 4. The schools I mention below have a definite chance of being stellar values, depending on what kind of merit aid you end up receiving.
I’d take a good look at UC-Davis and UC-Riverside to see if you want to add them to your UC application, as they are both ABET-accredited for bioengineering, and UCR would appear to be an extremely likely admit for you.
-
George Washington (D.C.): If you show demonstrated interest, this would be a likely admit. Additionally, I think you’d be competitive for one of their big scholarships (source).
-
U. of Alabama – Birmingham: The school is well-known for its strength in the bio/health fields and you’d get excellent merit aid. This would be an extremely likely admit.
-
U. of Houston (TX): Not quite as close to the medical corridor as Rice, but there are lots of opportunities in Houston and I suspect they would be very happy to woo you to attend. Another extremely likely admit.
-
U. of Maryland – College Park: You must apply EA if you’re interested (they filled more than 90% of their slots in EA last year), but I think you could also be a contender for the Banneker Key scholarship. I’d call this a likely admit (provided you apply EA).
-
U. of Minnesota – Twin Cities: This is another area that has definite opportunities for people interested in biomedical engineering. I’d call this another likely that might send you some merit to bring this below the price of a UC.