I have used the 30-06 with 180 gr. Noslers or Woodleighs and the 300 H&H with 200 gr. Noslers or Woodleighs for years..I like them both...I would probably go with the 300 H&H with 200 gr. Noslers or Woodleighs for elk, Moose. I would not feel undergunned with the 30-06 with 180 or 200 gr. bullets however.

Then you have the .338 Win. a round I dearly love for about anything short of elephant.