IMO you will probably want to get a high end scope to reach the .338 full potential out west in the next two years, as your interest and know-how increase. Also you might find your self wanting another rifle that is cheaper to shoot, less recoil for recreation and practice. So the first scope you buy dont buy with haste, as you could use it on another aplication in the future.
With that said I am sugesting a Leupold VX-2 4X12X40mm without the adjustable objective with regular duplex crosshairs. This scope is simple , the diference between 9 and 12 power is significant, the resale value on Leupold is good, lifetime warrety , and you can use it on everything from a .22 to a 300. And lets not forget after you get hooked on shooting you can use it on another rifle with ease.
Yes you can buy cheaper scopes and of '' simular quality '' but this scope makes since to me as I own two and baught one for a friends son at Christmas. I really like this scope. I own 9,12,14 and 20 power leupolds and I love my 12 power. Most important of all you can get it for under 500$.
any how what really matters is what feels and looks good for you . Good luck.