Will Duke give me any opportunities at buy-side roles?

I know many people who went buyside out of undergrad from Ross, youll be fine there if that is your goal. Dont know any from Duke or CMU

I have no experience but I would go to linkedin and see the alumni in each school and where they are.  This may help you narrow down which school places the most people for you.  

I'm from Duke and going into a buyside role! PM me if you have questions.

Places that have taken Michigan kids as interns or ft in the last year include Ares, KKR, Insight, Apax, Bain Cap, Oaktree, Vista, Point72, Citadel and more. Duke will give you similar looks in the fundamental space as well. If you're thinking about quant stuff, CMU has a little better name in CS, but tbh Michigan Engineering and Duke CS are all top notch programs as well -- you'll get looks at all the quant funds and prop trading shops that recruit out of undergrad. If you're thinking about fundamental finance, I'd got whichever is cheaper between michigan and duke -- you can also weight in stuff like sports / culture (Michigan) vs marginal prestige of a higher regarded private school (Duke). If you're sure you want to do quant finance I would lean CMU unless you care a lot about culture, sports, and having fun in a college town.