In looking at your sons's athletic history and clear enjoyment and success at playing multiple sports, I wonder if choosing a school which has club sports in his sports may provide the athletics he needs.
Or were you looking to leverage baseball to get into a school he wouldn't otherwise be admitted?
I know that the Ivies generally do not reach the NCAA roster limit and kids walk on (get through admissions on their own) frequently. If your son is a late bloomer whose baseball skills add to the team, once he gets admitted, the coach will love to have him.