I’m a bit confused. Your title says <$250,000, which I assumed was your 4-year college budget. But now your dad is saying that they have about $7k/year to spend on your college education. Is that correct?
Right now you need to do the Net Price Calculator at your reach schools to find out if they’re affordable. If your family income is in the $250k range, I’m doubtful that they will get down to about $7k, but you won’t know until you run the NPC.
Are you within commuting distance of Oregon State or Portland State? With a $7k budget, you may need to live at home and commute to school.
With a $7k budget, I would definitely eliminate UW Seattle as it offers extremely minimal merit aid (will end up costing about $60k/year). Georgia Tech would be about $46k. Since it would already be a big reach school, I think it’s highly unlikely that you would get the Stamps scholarship there, which would be the only path to affordability. CU-Denver, even with WUE, is going to run about $30k. You may want to investigate to see if they have additional scholarships to stack with WUE.
Additionally/alternatively, you may need to disregard some of your college preferences to find an affordable school.
Louisiana Tech is ABET-accredited for biomedical engineering and with your current stats you would receive an $8500/year scholarship and a Bulldog scholarship (elimination of out-of-state tuition). That would leave you with about $1700 in tuition/fees and $9500 for room & board, for costs of a little over $11k. If you are able to increase your SAT score to a 1450 or above, you’d get an additional $1k in scholarships. So between your parents’ $7k and a federal loan ($5500 first year), this could be an option. Louisiana Tech, however is definitely not in an urban location, and I am not optimistic about the size of its Muslim community (I don’t know though, so be sure to investigate). But this would be an option to get you out of state.
Florida A&M/Florida State are both in Tallahassee and have a joint engineering program which includes ABET-accredited biomedical engineering. FAMU is an HBCU that has historically been generous with merit aid for top students. This application is URGENT. According to its website you need to be accepted to both the school and the honors program by October 15 (i.e., in a week) to be considered for a scholarship. I’m not sure if it’s for their full ride or just any of their scholarships, but I think this is definitely an opportunity worth considering. FAMU Scholarship Program
Looking at this chart (source) it appears that you would receive at least $20k in scholarships (George W. Gore), and if you boost your SAT to a 1490 or above and depending on whether you would get a 4.0 after they recalculate your GPA, you would get a full scholarship. So as a worst case scenario, you’d be paying about $10k/year here after getting $20k in scholarships. I also suspect that FAMU would be a better fit for you than Louisiana Tech.
I’m going to post this now, because the FAMU app is really urgent for you to complete and I think it’s a very good option for you to consider.