Hi! I'm from Bolivia and now part of the Columbia class of 2013

. Well it's true that it becomes more competitive for an international student to get in when he/she applies for financial aid, one of the financial aid officers told me this. But it's way easier that it seems, especially if you live in the US and you're able to give them your taxes reports and all that stuff. Trust me I experienced this same issue, but I ended up with a $50,000 yearly scholarship. Money is not an issue if you're good and make yourself interesting for them and also show interest in the university. Make yourself unique that's all you need and do apply for aid, because it's better to get rejected for it that get in and not be able to afford it.
Good luck! I'm sure I will be seeing you around over the next years!