Low GPA but High rank...

@MYOS16 DO carniege and northwestern give aid to international…
So here are my full stats:

Objective:Indian Student from ICSE/ISC board taking gap year.No MUN, Ap in my city
SAT I (breakdown):2150(M-730,CR-710-W-710)
ACT (breakdown):
SAT II:Not given but planned…expecting above 750 in both Math 2 and Physics
Rank (percentile if rank is unavailable):Salutatorian
Major Awards (USAMO, Intel etc.):
Grades in 9th=82%(5 rank/140)
Grades in 10th=87(8 rank/143)
Grades in 11th=70%(15 rank/145)
Grades in 12th=89.25%(2 rank/145)

Subjective:

Extracurriculars (place leadership in parenthesis):

  1. Cracked NCO (By SOF and 125 International rank and 4 in city and technolothon ( organised by IIT Guwahati).

2.Won various national Level Robotics Competitions organised by IIT’s in their Technical Festival.

3.Ton’s online courses from Coursera,Udacity and EDx .

4.Did theatre for 2 years in High School.With script writing

5.Android App Developer(not launched any till now.Wil do it soon)

6.Received 8kyu.belt in karate.

7.Represented my school in InterSchool Table-tennis in 9 standard. Haven’t done anything in sports since then

  1. President of Computer Club at my School.
  2. I was appointed in my school's student Council twice.

10.Learned german in 9th and 10th(Of course I know remember nothing of it now, school Curriculum)

11.Play Keyboard and did many shows in my city.

Job/Work Experience:

1.Kind of interned with my school’s Counselor for 1 month.She helps students with the psychological problems. (She is NOT College Guidance Counselor,)

Volunteer/Community service:

1.I tutor 2 kids in my building for free(Obviously because they are not able to pay for it)

2…Did community work at my city’s School for Deaf and Dumb

Summer Activities:
Nothing Good
Essays (rating 1-10, details): I don’t know how to rate it but anything between 7-8
Recommendations (rating 1-10, details): Very Good.9-10

Applied for Financial Aid?: Yep. can pay around 12-14 k per year
Intended Major: Computer Engineering+psychology as a minor
State : Madhya Pradesh
Country: India
Income Bracket:<25000$
Hooks (URM, first generation college, etc.):Nope

Intrested Colleges:
University of Minnesota
University of North Carolina at Chapel Hill
Brown University
Boston University
Rice University
New York University (NYU)
Northwestern University
Carnegie Mellon University
Tufts University
Purdue University

I know I am not Ivy material but what do you think which colleges are in my reach,safe and match