Theres multiple ways to going and selecting bschools. I'm an intl too and this is how i did it in steps (with schools in my list left):
Top Schools: HBS, Stan, Whar, Chicago, MIT, Kellogg, Tuck, Berkeley, Columbia, NYU, UCLA, UMich, Duke, Cornell, Yale, Darden
1. Look at ranking, good place to start. For US Schools USNews generally is perceived to be the best. Looking at your profile, gmat, work xp, gpa etc break it down to dream schools, possible schools and safety schools. Now a safety school is the "lowest" school I'm willing to go to.
Remaining Schools: Whar, Chicago, MIT, Kellogg, Tuck, Berkeley, Columbia, NYU, UCLA, UMich
2. Now look at what you want to do post mba. I'm interested in fin/consulting. Look for schools which are good are your goal fields. Look at what employers recruit there, what electives they offer, that will give you a good sense of what the strengths of the school are. The top schools are rpetty much good at everything.
Remaining Schools: Whar, Chicago, MIT, Kellogg, Tuck, Berkeley, Columbia, NYU, Darden, UMich
3. Look at fit now. I am an intl student. I dont want a totally commuter school, rather somewhat of a campus experience. Also I I dont like totally case based curriculum. Location is important too, dont want to be in the middle of some jungle. I prefer schools in or close to major cities.
Remaining Schools: Schools: Whar, Chicago, MIT, Kellogg, Berkeley, Columbia, UMich
So from these I have applied to Wharton and Chicago. Will do so for Kellogg and MIT probably next. Hope that helps.