The best and most current way is to look at each school’s website.
None of the Ivy’s give merit aid. In the top 20, Rice, NU, U Chicago, and Vandy give merit, but it’s highly competitive. Public schools with strong CS programs like UIUC, UCB, UCLA, U Mich, U Washington, and U Mass Amherst will give little to no merit money to OOS students. What state do you live in?
The schools that will give larger merit are generally not the most highly ranked(but that’s not important especially in CS)…look at Miami Ohio, U Alabama, Ole Miss. If you are interested in LACs look at Union, Skidmore, Grinnell. Also check out U Rochester and CWRU.
If you share your budget, stats and qualities you are looking for in a school posters can make some suggestions.
For some schools you do have to file FAFSA in order to qualify for merit aid, but not many schools do that anymore. Maybe Skidmore, maybe Drexel. But check websites. Make sure to also run each school’s net price calculator, although some might not include merit so you would have to factor that in separately.