Full scholarship with 167 lsat?

My son just got a 167 lsat. He attends a college that doesn’t give grades (new college) but he believes his evaluations would translate roughly to a 4.0

We don’t have money to help him pay for law school so he really needs a large scholarship. He wants to attend a law school in either Boston, nyc, Philly or dc. Are there any schools in one of those cities he has a good shot at full tuition scholarship? Thank you!