Flags is spot on.
It don't make a tinkers darn what caliber it is if you can't make the shot. And if it's not a good shot angle it don't matter what the range is. Don't shoot animals around the edges trying to just throw one out there and make something happen.
Long shot or not if you can't hold a decent group 100 yards to a 1000 yards maybe you should look into bird hunting. Sorry for being rude but it's sad to see people not make shots most could do standing on their head.