Either will work fine. I myself am a fan of the sierra gameking.
I have or have seen them used in:
30-06 165gr
300wsm 180 gr
300 Weatherby 200 gr
35 whelen 225 gr
350 rem mag 225 gr.
I think there might be more, but I can't think of them at this time.
The 180 gr out of the 300wsm was my ex-wifes primary hunting rifle. That combination accounted for whitetail, mule deer, elk, black bear, and one large shiras moose which I got to pack out for her.
