Most of the SUNY (New York State) schools charge about $8k per year in tuition and fees. On top of that, they would need living expenses of about $10k per year to live near campus.

Unfortunately, without working more than 20 hours/ week, a college student isn't going to be able to come up with that $18k per year on their own, but they could get more than half way there, which doesn't leave a ton of support the parents would actually have to provide.