I don't think there is a bad choice in your group.
I, too use a .30-06 more than anything else. I do have a .338 Win Mag, .35 Whelen and a .375 H&H.
I use my .338 the most of the others and that is what I would recommend. It is easier to come by cartridges and the choice is wider. I don't see a lot of difference in distance traveled by a hit animal but I believe I can tell when they are hit with more certainty.
My .35 Whelen is also amazing. I get 2640 with 225 TBBC's and that is with a 22" barrel. I would likely use it more if it was stainless.
I do believe that I will eventually replace my .338 with my .375. I am still getting used to it and will need to shoot a few animals with it to get my confidence up.
