@Jarnkrok, Have you eliminated the possibility of getting need-based financial aid? Many US colleges – including the most selective – offer need-based aid to internationals, and quite a few guarantee to meet full demonstrated need. As a source of funding to internationals need-based aid is far more widespread and generous than merit aid.
The complication with need-based aid and internationals is that it’s difficult to predict and is dependent on what the college determines your need is (which may not match your actual need).
The financial aid department will ask your family to “demonstrate” need by providing tax returns, income statements and various other indicators of economic status. It’s an imperfect science, however, if your family would be considered low income by US standards or if it is a middle class family in a developing country, then you have a good chance of qualifying for need-based aid.