Your real cost for an Ivy League college will depend greatly on family income. University of Illinois Urbana champaign has one of the best computer science programs in the country public or private. Michigan in-state is an option many students would love to have. CWRU gives a lot of merit aid to strong students. You would have an even better shot at merit aid with a 34 or higher ACT.
@TooOld4School Sadly my math is what killed me. (English 35, Reading 34, Science 33, Math 27) I do well in math. I take all honors and AP in the subject but I have a history of not testing the greatest when it comes to math. I was thinking of applying LSA since I would want to do the CS there ( I enjoy the core requirements there more). Would my math score hold me back for LSA?
To correct an earlier post in this thread,
UC est. annual COA: $58,776; UW est. annual COA: $48,708.
UW awards a merit scholarship (“Purple and Gold Scholarship”) to OOS U.S. students. You would be automatically considered for the scholarship, and with your stats, a likely recipient. “For autumn 2015, scholarship amounts range from $3,000 to $7,500 per year ($12,000 to $30,000 over four years) and were awarded to about one half of U.S. students who are not residents of Washington State.”
Your stats are high enough to indicate that even if you were not a direct admit to the CS program at Washington, you would have an excellent chance at admission to the major after completing the prerequisites. Here are some articles that may be of interest to you:
http://www.quora.com/What-is-it-like-to-be-a-computer-science-major-at-the-University-of-Washington
http://qz.com/343521/18-universities-produce-half-of-us-and-canadas-computer-science-professors/
http://www.computersciencedegreehub.com/50-innovative-computer-science-departments/
It is hard to beat UM as an instate student, but if you apply to Washington, I recommend also applying to the Honors Program:
http://depts.washington.edu/uwhonors/apply/freshman/faq/
Good luck!
Note that if you attend Washington as an undeclared student (not as a direct admit to the CS major), competition to enter the CS major is very high ( http://data.engr.washington.edu/pls/portal30/STUDENT_APPL.RPT_APPLICANT_STATISTICS_YEAR.SHOW_PARMS indicates that average college GPA of students admitted to the CS major is around 3.7, though admission is not strictly by GPA). Many other majors at Washington are also competitive admission, according to https://www.washington.edu/uaa/advising/academic-planning/majors-and-minors/list-of-undergraduate-majors/ – for some reason, many departments at Washington do not have sufficient capacity for all interested students, more so than at many other public universities.
Really, you should be very happy to have a good in-state option like Michigan where so many out-of-state students are willing to pay a much higher price to attend. Washington, unless you get both direct admission to the CS major and scholarships to bring the cost down to a reasonable amount, does not seem like a good option if you are also admitted to Michigan.
It sounds like Michigan is your first choice; you want to avoid schools that are more selective and more expensive than Michigan. So as back-ups, identify a couple less selective in-state public universities (such as Michigan State). Also consider the University of Alabama, which guarantees full tuition scholarships for OOS students with your stats (http://scholarships.ua.edu/types/out-of-state.html). Other options would include public schools with relatively low prices even for OOS students. Examples: Truman State (~$23K), New Mexico Institute of Mining and Technology (~$27K) … or maybe the University of Minnesota- Twin Cities (~$30+K)