The Michigan DNR encourages hunters to shoot dogs that are chasing deer, as the use of dogs is illegal, and such dogs are presumed to be feral or habitual killers. As a dog lover, I'm not sure I would do it. Hope I never have to.
As for bow hunting, it's my preferred method due to the reduced # of hunters in the field and the increased # of hours available to hunt (10/1 to 12/31). It also forces the hunter to be better at almost everything related to hunting; otherwise the deer will never get close enough for an ethical shot, which varies by ability gained through practice.