<p>I think you should take Northwestern out and replace it with the University of Chicago, as it does look at international students, takes more in via QuestBridge, and is an excellent physics school.</p>
<p>Match is always a competitive process. The non-bindings are especially selective, taking less than 1% of applicants. Dartmouth is also ridiculously selective- only taking 3-5 students out of the Match process out of thousands of applicants. U’Chicago, Pomona, and Amherst are less selective (30/900 applications at U’Chicago, 13-16/300 at Pomona and Amherst), but a 5-10% acceptance rate doesn’t guarantee anything.</p>
<p>I think you do have a chance. But it’s a low chance, just as it is for everyone, and especially with those schools. The schools you listed are also the most selective in terms of average SAT, so your high scores may not make a difference. If you want to be matched somewhere, consider less selective, but still excellent schools like Carleton and Grinnell. Carleton is noteworthy in that it ranks among the top 5 produces of science and engineering PhDs.</p>