I am not aware of any "STEM" universities; at least none of the numerous major universities. All of them offer a wide variety of class subjects, majors and minors. The difference might be the degree rqts. of the individual departments at a university. Some departments may require more courses in your core area/major. That would potentially leave less time for courses in other topical areas, at least if you wanted to graduate in four years. I suggest that you check with the individual bio-engineering departments at specific universities that you are interested in to learn their core rqts. and ability to take broader, non-core courses.
Good luck, Pete Sturtevant