Bisley: I know the answer to your inquiry as I used my faithful pre-64 Model 70 in 30/06 to do what you are asking and i did it for decades.
The answer is the wonderful and reliable Nosler 165 grain Partitions.
I have killed scores of Elk, Mule Deer, Blacktail Deer, Black Bear, Mt. Goats, Antelope and Whitetailed Deer with this bullet!
I highly recommend it to you for Mule Deer and Elk.
Hold into the wind
VarmintGuy
