OK, a shotgun is handy for that use up close, but a handgun still has more range than a shotgun. I've made a first round it on a coyote at about 125 yards with the 4" 29. I also keep a long gun close, mostly a 94 Winchester carbine or a scoped bolt gun, but not as close as a handgun. When I shot that particular coyote, I was riding with a friend on what seemed like an innocous errand, so didn't have a long gun with me, but always had the 29 on.
"Far better it is to dare mighty things, to win glorious triumphs even though checkered by failure, than to rank with those poor spirits who neither enjoy nor suffer much because they live in the gray twilight that knows neither victory nor defeat." -Theodore Roosevelt-