As @lkg4answers says, it’s pretty important to know which aspects of CogSci are of particular interest. Some schools have CogSci majors that are really no different/better than other schools where you would major in psych with a CogSci minor. Some programs are computation-heavy. Some emphasize neuroscience (and if that’s what you like, you can as easily look at neuroscience majors and broaden from there). Some have a lot of linguistics; others almost none. It’s good, as a starting point, to know what your top-priority areas are, and what you think you might like to do with your background. (Someone who wants to do neuroscience research needs a different background from someone who wants to get into UX or NLP, for example.)
That said… the strong but affordable program that jumps out at me is at U of Arizona. They have a very good honors college, generous OOS merit, and a robust undergrad Neuroscience & Cognitive Science department with two tracks, one emphasizing Neuroscience and the other CogSci: Choose Your Path: Neuroscience or Cognitive Science | NSCS Undergraduate Program