Lots of recommendations here for exotic chamberings. They are fine if you hand-load your rounds, but are a pain if you don't.
As a life-long elk hunter, I second 1911a1's advice; The .300 and .338 Win Mag chamberings are very difficult to beat for elk. They are flat shooters that can deliver a huge amount of energy on a large animal at distance. They are also respectable chamberings for accuracy - certainly good enough for a large target like an elk.
Add to this the fact there is a wide variety of high quality ammo available off-the-shelf, and that they are desirable calibers if you ever decide to sell your rifle, makes either of these chamberings a great choice.
My 2-cents... but it may be worth what you paid for it
Have fun with the project!
Justin