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.

With networking its hard not impossible. Scored interviews / offers with many big MM HFs as well PE MFs. 

Duke has kids going straight to buyside (vista, bx, ares, apollo) so the school will get you the looks.

Not withstanding potential cost differences, Duke is clearly the superior school vs MI, its not really on the margin (of course MI is an amazing school as well). Kinda seems like a no brainer for me at Duke if those were the 3 choices. Its better in ranking and network. MI will be more fun in terms of huge state school vibe, but the winter weather is horrible. Duke is still a fun campus and the weather is a lot better. CM just seems like such a different path - if you're interested in tech and majoring in engineering could be an option but otherwise I'd go with Duke if it was me, without much hesitation. Overall all great options and you'll be fine where ever you choose. Congrats. 

Have a good friend who went to Duke undergrad and after a couple years at a top bank top group is now at one of the best; if not the best, buyside firm in the world. Much success to you