You don't mention if you will be using factory fodder or handloading, but that's OK, because my answer is the same. Shoot Nosler Partitions and you will have no problems.

Now, I prefer Ballistic Tips for deer (165-grain weights in both my -06's), but a good ol' 165 or 180-grain Partition is good enough for deer, black bear, caribou or elk. The 180's especially for elk, but you may get better trajectories and accuracy from 165-grainers, so experiment.

Look....there are more components geared towards the -06 than almost anything. You have a myriad of products to choose from, including scads of factory loads and bullets. But if you want a bullet that is known for penetration, weight retention, accuracy AND expansion at just about any sane range, you cannot make a bad choice shooting a Partition.

Brian