Midwest, but Rustbelt works equally as well.
I googled Midwest for images and found about 50 different maps of the Midwest including and not including many different states, but they all included Ohio.
Sure, part of the state doesn't follow the traditional Midwest theme, but neither do parts of Michigan or Iowa. Parts of New York don't follow the New England theme, but that doesn't stop New York from belonging there or deserving a "multi-society" status or whatever.
New York isn't part of New England....