you can do ohio-indiana-kentucky in a blink around I-275 the loop highway around western cincinnati.
in eastern ohio you can also do ohio-wv-penn quickly via east liverpool, ohio.
you really cant do it in ne ohio. it takes about 45min or so to drive from conneaut, oh thru erie, pa, the small lakefront strip of pa, to ripley, ny at the ny state border.
edit: in billingstown in farthest nw ohio there is a little marker in a cornfield where ohio, indiana and michigan meet:
Michigan - Indiana - Ohio State Lines, 3285-4549 N 1000 E, Fremont, IN 46737
Michigan - Indiana - Ohio State Lines
https://goo.gl/maps/riapJ5G1PBbPHoGN8