<p>You definitely need to keep money in the equation. Schools like Brown are need-aware for transfer admissions and therefore highly favor students who will not even seek financial aid. Furthermore, it does no good to spend time and energy applying to schools which at which the cost of attendance will prove an insurmountable obstacle.
After a little googling, I found several different rankings of undergrad psych. programs. For state schools, U Mich, University of Texas, and U Minnesota all consistently appeared near the top of the various rankings. (Granted, I’m not a psych major, and will likely never take a psych class in undergrad, so take this with a grain of salt.)</p>