In Czechia, one of the most infested places are city parks where people walk their dogs. Lots of people, too, so the chances of transmission are high. I don't think that a pet hunting season would pass the Parliament, though :)

Maybe some sort of biological control should be introduced instead. Guinea fowl on steroids.

If we allow ourselves a bit of science fiction, a drone flying over tall grass and burning every questing tick with laser would likely reduce the populations as well. A questing tick sits on the end of a blade of grass, waiting for a host; as such, it is necessarily visible.