Gamekings are accurate but definitely a tougher jacketed bullet. I have shot a lot of the 40gr/50gr BlitzKings and they IMO would be ideal for what you are describing. I would assume the 55gr would be up to the task as well.
I dream of a society where chickens can cross the road without its motives questioned.
"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