With triplets in college and possible medical school on the horizon, it is good thinking to be cost conscious. For the private schools on your list, such as Case Western, you are still looking at a pretty substantial total cost even with a good merit offer.
You will want to have a talk with your parents about budget numbers. Assuming you are full pay (you will want to run expected family contribution for the various schools)… If your parents are comfortable with $50-60k per year (for example), you are in the ballpark for many OOS public schools without merit, or a private school like Case Western with some merit. If on the other hand you need to get total cost down to $30-40k or less, you may want to look for some lower cost options.