You will come across these in the Kenai Peninsula area of the South Central Alaska Region (3rd Territory you travel to). Bring a heavy rifle with you (I used the 30-06) and travel to the northern part of the map near the northern most red square. There are several Kodiak Bears to kill here. You need 4 to beat the hunt mission but just one of them will net you the achievement if you head back to the outpost from the start menu.