I agree with many of the posters above that 'overall' there are a better selection of 35 whelen bullets out there - if you include online, mailorder, etc.
Fwiw - I had this same question a few months ago and drove down to the local Bi-Mart and checked to see what they had on their shelves. 6 different kinds of 338s in various brands and weights vs a single 35 box of Nos Ballistic tips.
That's only one store, and not a great statistical sample, but for me I was on the fence so I decided to go with a 338-06. Mine is built on a 700 long action ADL, with a gunstocks.inc (sponsor of GBO) fancy grade stock. I'm almost done with the finishing, and confess I haven't actually shot it yet. I'm excited about giving it a try.
Another note, there are a couple of good articles on Oregon Elk Hunting with the 338 in "Wildcat Cartridges vol 1 and 2". I haven't found very many other articles around, so these were a real treat.
Re: the 9.3x62 - I want one of those also

I have an old M98 laying around that I haven't decided what to do with someday when I'm ready to start my next project. 9.3 is on the short list of optinos...
Last and not least as everyone has said - 338, 35w, or 9.3 - all are fantastic, and have a lot of overlap. Whichever you chose you'll be doing well.
Have fun.
Nate