My suggestion would be to decide first based on best fit — ie where your son would feel the most comfortable — and perhaps use placement rates as a tie breaker. A pet peeve of mine is that after graduation job placement rates don’t seem to have much of a bearing on college rankings despite the fact that that’s pretty much the whole point of getting that degree.
Getting back to your question…I don’t have direct experience with all 3 business schools but as a parent of 3 I do have experience with 2 of the 3 schools and am about to get more experience with the 3rd:
Regarding Ohio State — our oldest son selected OSU and majored in Aerospace Engineering. He chose the school primarily because he wanted the big school experience, and they are also very well rated across multiple engineering majors. He enjoyed his time there; was involved in a club Ultimate Frisbee team, and graduated in 4 years with a 3.1 GPA. However, he then struggled for 1.5 years to find a job…eventually found one by offering to start as an intern and that later became a full time job, but the whole experience was very hard on him. After doing some digging, I finally found the placement rate info for OSU engineering graduates and was shocked to see placement rates in the 60ish percent. That’s terrible for a highly ranked program! In fairness, my son wasn’t persistent enough to get an internship, didn’t participate in any engineering clubs, etc. So, although his grades were ok for an engineer, he didn’t help himself much. I’m sure kids who are true go-getters and take advantage of all the opportunities do well. My son loved his time at OSU, but as a parent, I’m not a fan. Of course, this is an engineering story and not a business school story, but when my 2nd child starting looking at colleges as a business major, I checked out OSU business placement rates and found they were surprisingly low too.
Regarding Miami — My daughter was interested in majoring in business and although she started out totally against Miami due to the preppy reputation and Greek culture, she ultimately decided to go there. She started out in University Honors and was later also accepted into Business Honors. She has had a phenomenal experience — she contacted the head of the Marketing Department the first semester of her freshman year, and he connected her with a professor who she’s assisting with consumer market research projects. She engages with her professors frequently through office hours and knows several very well who have submitted internship reco letters for her. She had a career-related job even before she started at Miami, an official internship after sophomore year and has accepted an internship for this coming summer already. She took a January-term class to learn about Disney Marketing that culminated in a week at Disney where she worked on group projects with classmates and then presented to the professors. Her Business Honors class did a case competition that they ultimately presented to Abercrombie and Fitch executives in Columbus. In fairness, my daughter definitely is a kid who seizes every opportunity, but with a 97-98% placement rate for FSB graduates, it seems Miami is doing a lot of things right. (As a side comment, despite her original adversion to Greek life, she also joined a sorority — she lives with friends that she met in her honors dorm freshman year who didn’t join a sorority but also has many great sorority friends.)
Regarding Xavier — This is the one with which I have little direct experience; I’m on this board because my youngest has chosen Xavier and will be starting in the fall. He also wants to major in business, but Miami doesn’t feel as good of a fit for him: He is very interested in social justice issues and wants to be closer to a city. He also has a learning disability, so a small school with more support and closer professor/student interaction feels better to him. (My daughter felt like Xavier would seem too much like her high school whereas that appeals to my son.). Importantly, despite the fact that their business college isn’t as well known, their job placement rates are about the same as Miami’s. It appears that’s because there’s a lot of handholding every step of the way by Xavier staff guiding the students through the career process whereas at bigger schools, the schools offer the services but the kids have to take the initiative to take advantage of them.
So, that was a super long response and just one person’s perspective based on experiences of 3 very different kids, but again, I’d choose the school based on fit for your son and placement rates.