Big state flagship schools that offer sufficient merit scholarships for you may be the best hunting grounds. The population of highly intellectual students, even if only a small percentage, may still be sufficient in absolute numbers (e.g. 10% of 20,000 students is 2,000 students, the size of a small LAC), although they will be mixed in with all of the other students.
http://talk.collegeconfidential.com/financial-aid-scholarships/1678964-links-to-popular-threads-on-scholarships-and-lower-cost-colleges.html links to lists that may be of interest to you.