Wait a second. I'm originally from Ohio and have ridden all the NW of the state and have never had a problem with dogs in Ohio. Yokels in pick-up trucks, yes. Dogs, no.

When I have had problems with dogs, I just dismount and put the bike between me and the dog and back away.The dog should lose intrest. If it doesn't(they always have with me), and attacks you, you have a bike to beat it with. It's much quicker and safer than spary. My mother-in-law had a vicious chow that was immune to anti-dog spray. I tried all different kinds. Never trusted spary after that.