Yea, I think we have a couple students in my class that are going back up north to MI for most, if not all, of their rotations.
Not sure about MSU-COM locations specifically..... depends on if they allow "outside" students to rotate their during 3rd year or not.
For the most part your cores have to be done with LECOM-B affliates, and there are some affiliates up north (I wasn't interested in leaving FL so I never looked into them), but it IS possible to pretty much set up your own and cores elsewhere, just requires some more work on your part and there are a few other requirements that need to be met.