(I’m not OP but) Since there is only one entity, you would probably create a simple website redirect for the redundant lower level, and keep everything (web, email) at the domain (the one that would have been a “county” anywhere else). E.g. sf.ca.gov
City: medina.medina.ohio.gov
From brief googling, the school district is subordinate to the county, not the city, despite its name.
medinacityschools.medina.ohio.gov
Or
cityschools.medina.ohio.gov
Or
mcc.medina.ohio.gov
Or
bees.medina.ohio.gov