<p>The 6 need blind institutions are Harvard, Yale, Princeton, Dartmouth, Amherst and MIT. </p>
<p>Most other top schools (the rest of the Ivies, Stanford, LAC’s like Williams, Haverford etc) do give aid to a few internationals every year. That number varies vastly from 5 at the smaller places to even 75 at the larger schools. As Tizil said if you need less aid your chances go up.</p>
<p>In the batches that graduated before me at my school, the students who applied for aid during ED generally found more success than those who applied for aid EA or RD. This is contrary to general opinion that you should not apply for aid ED as you will not have the chance to compare offers, but at schools which are need-sensitive, the commitment of binding admission might improve your aid offer. In any case, if a student is accepted ED but does not find the aid package sufficient, you can back out of the ED agreement.</p>