Engineering major college search help please

30 ACT (26/36/22/34)
31 superscore (29/36/25/35)
AP cal BC 5 AP physics C M 5 AP physics C E&M 4
math level 2 800 physics 770
3.91 unweighted 4.12 weighted

took multivariable calculus , linear algebra, differential equations , and abstract algebra.
School president, STEM club president, internship on SAMSUNG elec. ,
1st place on regional music competition, and basketball , most outstanding student of the year.

Any chances getting into top 20 engineering school?

Cost constraints?
State of residency?

none, international