Hunted them in northern NYS when I was a kid. Dad had beagles and many times we shot “strays” not the hare the dog was running. Got many standing shots, but when they are running flat out, good luck. Sometimes all you would see is a spray of snow. We used shotguns. In a place with many hares and good hounds there is not much that is more fun. Hunting without dogs, a 22 or rimfire would work. Just look for the black eyes.