Congratulations on your achievements so far.
However, to give you some context as to how hard it is to get in as an international student, Harvard currently has 21 undergrads from Turkey (1 from Syria), or 4 or 5 per year. https://hio.harvard.edu/statistics Of those, there may be a few who are children of alumni or from powerful or rich families.
The good news as far as some of the top schools are concerned, like Harvard, Yale and Princeton, is that they have extremely generous financial aid, are need blind and meet full need with 100% grant aid for international students. They will also be extremely difficult to get into. You need to do your research for each school that you are interested in in terms of the overall quality of the student body and their admissions and financial aid record/policy for international students. As mentioned numerous times above, it is fine to reach high, but you also need to plan realistically both as to admissions probability and the finances involved.