Both of these schools offer excellent biology programs. However, as a distinguishing aspect, Stony Brook provides a general health services orientation that may appeal to you.
This refers to the effect on the campus social atmosphere of a school’s enrolling many relatively local students, which would be most apparent on weekends. It has no academic implications.
For a current perspective on Stony Brook, this New York Times article should be of interest: https://www.nytimes.com/2023/12/30/nyregion/flagship-stony-brook-university.html.
If it matters to you, note that SBU appears to be slightly more selective than OSU (College & University Rankings).