First Time,
I second what SeattleSetters said.

Modified recap:
1. Leupold at whichever price range you can afford (durability versus magnum caliber).
2. 2x7, 2.5x10, 3x9 for USABLE power (many elk shots are close [80-100 yards] and quick occuring) -- having a good LOW power setting is more important than having a varmit-like high power setting.
3. Make sure you use a STRONG scope mounting setup and use loctite so they don' t shoot loose.

Unless you are going for the " long range hunting" mode (don' t want to start a firestorm here) you are better off with a rugged mid-range scope than a varmit type. You mentioned earlier this gun is for elk. A big scope with a big objective means an even heavier rifle which is then more likely to be on your shoulder than in your hands when the " magic moment" arrives.

Last fall, my son used a 338 with a 2x7. The year before he shot an bull elk with the scope set on " 6" . So for the new year as the sun rose on opening day he was set again on the lucky " 6" . When the elk herd stampeded through our stands at full tilt he tried to get " on target" at 15 to 20 yards -- had to lower his rifle, switch to 2X -- then back on to an unfortunate straggler. A good, fast acquiring, big picture low power is crucial. Elk seldom give you that pause at 125 yards, turn broadside, and look at you for 4 seconds that white tail are fond of.

These shorter shots are much more common than the 500 yarder that your upcoming guide indicated took the biggest bull last year. If you insist on leaning toward the high side, then no more than 4x12 max with 4 being the key number of the two.

Remember elk are animals of the timber -- you may catch them out in the open alright, but you also have to be able to hunt them on their favorite turf -- the timber. Your low power number is crucial,

Never Go Undergunned,
EKM