Umich LSA vs. Wisconsin School of Business

Hi all, I’m a high school senior accepted into both of these schools. Unfortunately did not make it into Ross. I’d like to pursue a career in investment banking and am wondering which of these schools would offer more opportunity. Attending an actual business school at Madison seems like the right move here, but I wonder if the difference in the access to recruiting events between the two schools would justify attending UMich and majoring in something like econ or financial engineering, as I understand that more BB banks recruit there. Any advice would be much appreciated, thank you!