I know this is a long distance forum, but I'm stunned by the few responses from members using traditional cartridges which have brought down more elk in the last century than any one of could ever conceive. 30-06 or .308. I personally own both as well as a 300 win mag, but my go to gun is the .308 with a 160+ grain bullet. I know the 308 doesn't necessarily buck wind like the 7mm, and it doesn't have the velocity of many standard and mag cartridges, but it's inexpensive to shoot a lot of bullets through it and has great barrel life which allows the owner to become very proficient with what his/her Rifle will do in a variety of conditions. It doesn't kick so hard that a brake is needed and one definitely isn't going to be flinching using a 308, so no pulled shiots... ever. There's a ton of great bullet choices, and the 308 flat out kills elk to about 600 yards with proper bullet placement.
I'm definitely not neigh-saying others choices here, cause I've seen a lot of great rifle choices lined out in the preceding 10 or so pages, it's just that it's almost as if other users are embarrassed to post if they don't have the newest greatest sniper cannon to launch pills with.
Well I'll say it...
Tikka T3 Tactical .308
Vortex Viper PST FFP 6.5-24x50
Harris swivel bipod
Berger 168gr VLD @ 2575.