If you like looking for coyotes after you shoot them then any of the 17 rimfire’s are your Huckleberry.
Take 603’s advice and get the 223 almost as cheap to shoot and will anchor coyotes with authority with good bullets. IMO.
"Anyone taking up handloading necessarily plays with unknown factors and takes chances. But so does anyone who drives a car,goes to a cocktail party,eats in a restaurant,or gets married."
Jack O'Connor 1963