chance me for Princeton and U-Chicago

Your numbers (GPA, test scores) are competitive. You can still apply to Ivies and Ivy equivalents – just make sure you also pick a few matches and at least one safety.

Match-range schools for you will include universities like Boston College, Lehigh, Wake Forest, NYU (except Stern), Tulane, Brandeis, U of Rochester, Case Western, Northeastern, Boston U, SMU, Miami(FL), Pepperdine, Villanova, GWU, Fordham, and many state flagships; and LACs like Lafayette, Bucknell, Denison, Franklin & Marshall, Gettysburg, Union, Skidmore, Whitman, Sewanee, Trinity (CT), St. Olaf, Rhodes, Occidental and Connecticut College.

Typical safeties are your state flagship or another state school and less selective LACs and private universities. You’re looking for schools with at least a 40% admit rate (the higher, the safer), where your stats are at or above the 75th percentile among accepted students.

(do your homework and find the matches and safety you feel fit you best – they are there in case you don’t get into a reach school… and some people even prefer their matches, or a match, to their reach schools…)