http://www.ohe.state.mn.us/mPg.cfm?pageID=194 describes Minnesota residency for tuition purposes.
https://registrar.osu.edu/residency/ describes Ohio residency for tuition purposes.
Looks like both Minnesota and Ohio have some provision for those who graduated high school (or GED for Minnesota, not Ohio) in the state to retain residency for tuition purposes. Read the rules carefully.
Would they be affordable, since out-of-state financial aid is unlikely to be good?