It's kind of funny how simple and complicated of a question this can be at the same time. Having spent way too much time on here over the months, I've thought about it and here's some food for thought.
For as much talk about people applying broadly and needing to apply to 20+ schools look at how many states where the majority of people who get accepted stay in state.
https://www.aamc.org/download/321466/data/factstable5.pdf
The majority of states in the US the majority of their matriculants stay IS. What I'm getting at is your chances are often best at the schools closest to you. So in the case of Ross, if you went to U of Michigan, those Michigan schools will know alot about your GPA because they see tons of students from that school and probably have taken tons of students from that school. They have a decent sense of what equates to what and probably to some extent how well the students from Ross/Michigan do in their med school. Those schools will have a good idea of what a solid GPA is from U Mich. It's very possible they could look at that 3.41 as solid and that someone with a 3.41 from Michigan is likely to be fine at their med school. If that's the case it perhaps won't be a turn off, even if it is at the lower end of competitive historically, particularly if there are mitigating factors(ie working 30+ hours a week in college to support the family).
Note this isn't about "big names" ie adding 0.3 if you went to JHU or anything like that. It's more about familiarity med schools have with certain UGs. The SUNYs could easily be a feeder to many new york schools because they are a known product who have produced good medical students in those med schools. If you have a GPA along the lines of what that school deems is fine and not a risk factor for having problems in med school, even if numerically its not the prettiest thing in the world, you might be ok.
I guess in summary that's why its important to look at the stats for your particular UG school. For Michigan it turns out, the successful matriculant there has a 3.64/3.55 on average. A bit lower than national average but not too much. Interestingly, there MCAT at 30.8 is little bit below the national matriculant avg. So all in all to be successful from U of M it looks like you have to have the same type of stats the average applicant does to be successful more or less.
https://careercenter.umich.edu/article/2014-medical-school-application-statistics