If you don't reload, there is only one real answer:
.35 Whelen.
9.3x62mm factory ammo is difficult to find, and typically pretty bloody expensive.
Otherwise, they're close enough performance-wise that it doesn't really matter.
Arguing that .358" bullet selection isn't suitable for .35 Whelen is like arguing that .257" bullet selection isn't suitable for .25-06. It's true, as long as you have your head buried in the cheap stuff, and you're looking at bullets designed for .35 Remington (or .257 Roberts). But when you limit the selection to bullets
appropriate for the cartridge and intended use (just as we do for things like .30-06 on big game), then things get a little clearer. There are plenty of bullets suitable for .35 Whelen, that are comparable to .366" offerings; and generally you're still looking at much better bullet selection for the .358" category.
Examples:
-Hornady offers 3 bullets suitable for .35 Whelen and big game. They offer just one bullet in .366" diameter. All are rated for exactly the same uses and velocities.
-Speer offers at least 3 bullets suitable for .35 Whelen and big game, and two of them were designed
specifically for the cartridge. They offer just one bullet in .366" diameter.
And if you run through the common manufacturers (including Woodleigh and Lapua), the results are about the same. Overall, .35 Whelen has roughly twice as many suitable bullets available. And, even then, a bunch of the bullets I lump in as "suitable" for 9.3x62mm were actually designed for the lower velocities of .360 Nitro or .360 Nitro #2.
.358" bullet selection wasn't quite so good 15 years ago, but we've had some really nice additions to the lineup.
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Admittedly, I am slightly biased. I built a .35 Whelen (cheap!) and have liked the cartridge for at least 10 years. I also reload for it.
9.3x62mm, on the other hand... Bullet selection sucks. Ammunition availability sucks. And even finding a rifle or getting a .366" barrel can be a pain in the butt. And that's not even factoring in the reloading-related problems.