what are my chances when my family can pay only $6000/year

[vonlost]

There are very few colleges (and by few, I mean 4 or 5) who are need blind and meet 100% of need for International students.

Need-aware colleges are another option. Consider these:

https://en.wikipedia.org/wiki/Need-blind_admission#U.S._institutions_that_are_not_need-blind_for_U.S._applicants_and_meet_full_demonstrated_need

They will also meet full need for a handful of international students.