I suggest you google “colleges that meet full financial need” and “colleges that offer generous merit aid.”
The former includes many of the most competitive schools, which are also often the wealthiest, for example Harvard, but also some that are more reasonable in terms of admissions. Note that “colleges that meet full financial need” might be “need aware” (and not “need blind”) in admission, so they may consider a student’s ability to pay in the admissions decision. Also, a school may, for example, calculate that a student can pay $20,000 per year and cover the balance. However, the student may feel that they can only afford $10,000 per year. Sometimes this can be worked out with the school.
The latter includes schools where her grades and test scores might secure her generous aid. Many schools now focus financial aid less on merit aid and more on need-based aid, but that is certainly not always the case. As an example, Miami of Ohio provides a nice chart that shows a range of merit aid that might be anticipated based directly on grades and test scores.
http://miamioh.edu/admission/merit-grid/
As an FYI, Miami of Ohio and some other schools will have a merit aid deadline that is earlier than the RD deadline. In this case, you can apply to Miami after Dec. 1 but must apply by then to be considered for merit aid.
I suggest for CC and in general that your daughter come up with some general preferences so that she can pare down her list. Is there a region she prefers (Northeast, Mid-Atlantic, South, etc.)? Would she prefer an urban school? A college town? A more rural environment? What about school size–small (under 4000), medium (maybe 4000-10,000), or large (>10,000)? Maybe you can visit a few small liberal arts colleges (LACs) in your area to see if that appeals. Maybe also an urban school or two. Rochester, WPI, Holy Cross, Albany, Hamilton, Colgate, St. Lawrence, and Union College might be some near you, where you can get an idea about her preferences. She doesn’t even need to be interested in the school–though going with an open mind is always helpful–just wanting to see what a school of a certain size and a certain location might feel like. By visiting some local ones, you can avoid investing too much money and time. Good luck!