Do you need an inexpensive college because your parents make 75K or less in income or because they make a lot of money but don’t have a lot saved for college/have other expenses they have to prioritize/are unwilling to pay?
What’s your parents’ EFC and their budget (unless EFC is zero, the budget is often different from the EFC).
What do you want to study ??? I have a daughter at SLU. I know they give decent money. And they seem to be generous to NY State kids.
Privates are nice, but due to financial realities , you might be more likely to end up at publics that are generous with merit aid, like West Virginia, Florida State, & Florida International.