<p>To the best of my knowledge Harvard, Princeton, Yale, Williams and Columbia are need blind for international students. If you can get in, you will get the money you need. </p>
<p>From my experience with mentoring a girl who had almost identical scores to those of the OP's daughter and similar Finaid aid need, your best strategy is probably to apply Early Decision to Princeton or Williams and not waste your time applying EA to Harvard or Yale where most likely you would be deferred anyway. </p>
<p>For your purposes Harvard, Princeton, Yale and Wiiams would be academically equivalent and are need blind. From my perspective Wellesley, Smith and Bryn Mawr would also be fantastic academic choices and though not need blind are very eager to recruit girls with a strong interest in science. If they want you they will find the money for you. </p>
<p>Since international applicants are in a significantly tougher admission pool than US resident applicants, it might help the OP to consider two actual cases whose application histories I happen to know. Both girls have an identical(European) ethnic background, have similar classical/modern languages training comparable to IB , virtually identical Finaid need and both are first in their class at very distinguished schools. The SAT score of girl A is 800 CR, 720 M, 680 WR. SAT score of girl B is 800 CR, 800 M, 740 WR. Both single sitting.</p>
<p>Girl A expresses interest in doing neuro-psychology and theatre and has the course profile to back this up, Girl B expresses interest in mathematics, languages and music and has the course profile to back this up i.e., Phys. C and BC calculus plus a range of other AP's at 5 standard</p>
<p>Both girls are deferred EA at Yale. In the regular admission round both girls get into a range of Ivy's/First Tier Lacs with virtually full Finaid. Girl A gets into Yale,Princeton and Williams but not Harvard; girl B gets into Harvard, Williams and Princeton but not Yale. The Finaid packages at these places were within about $2000 of each other</p>