EDing to Princeton w/ good test scores and few extracurriculars

<p>Hey guys,
I have 35 composite on ACT (34 English, 36 Math, 35 Reading, 36 Math, 8 essay[I panicked]).
SAT Physics 800, SAT Math II 800,
Took SAT in sophomore, got 1910 (570 writing, 600 reading 740 math, retook it and I am getting scores on Oct 28).
Took three AP courses (Physics B, Psych, Calc AB) 5's on all tests.
Currently taking Physics C, Comp Sci and Spanish V AP courses with Multivariable Calc.
4.06 GPA currently, but consistently had A's and A-'s with one B+ in freshman year. </p>

<p>Ran winter and spring track freshman, spring in junior and planning winter and spring in senior. (sophomore year's credit was not given because of sprained ankle)
Math Honors Society
Did at least 5 clubs but NONE appear on transcript because of unpaid dues.
300+ volunteer hours in church</p>

<p>How good are my chances for (I am looking for Aerospace Engineering):
Princeton University
MIT
Stanford
Caltech
Cooper Union
Stevens University
Cornell
UMich - Ann Arbor</p>