What are your stats?
W&L is a terrible choice for someone who’s not interested in Greek Life as most social life there orbits around fraternities.
If you want a college sort of like UChic, look into William and Mary, Reed, and Carleton. However, I’m not sure those have business majors.
Note that students who want a top MBA program would study Math, Economics, CS, Philosophy, or any “traditional” major, not business, as top MBA programs don’t want business majors, unless they essentially had a double major in a traditional field as well as in business (Notre Dame, Wharton, Stern…).