You know, if you had to pick the best one, the result would be a whole lotta .35 Remington lovers bludgeoning each other about the head to convince the rest that their pick was THE one. And they'd all be right.
I don't know what the best powder is, truthfully. I've used quite a few. I've got a long list of powders that perform well.
Regarding your H322 - it is one of Hodgdon's Extreme powders, and advertised as being (less) temperature sensitive, but with typical .35 Remington loads at factory duplications speeds it is not case filling. This is a bit of a problem, but not a huge one.
To educate yourself, try a load that generates factory speed. Try it with powder near the bullet, then powder near the primer. See what your chronograph says and be informed, and then be advised other powders are worth trying. (Hint: it's position sensitive; in certain specific applications H322 is an excellent .35 Remington powder, but for factory duplication loads it ain't so hot).
H335 works fine at 39.0 grains with a 200 grain bullet, generating around 2100-2130 fps depending upon temperature (the load is fine; after you check your current data you may have another question for me about it). W748 is very similar and takes the same charge. A Winchester Large Rifle primer will be okay with H335. I'd be more worried about ball powder in cold (<10 F) temperatures when used in the modest volumes present in a .35 Remington case. In temps higher than that, the standard WLR is plenty.
H335 is perhaps a bit dirtier than the newer generation ball powders, but for loads used for hunting this really doesn't matter one iota.
Other powders on your short list: IMR 3031, TAC, X-Terminator, 2230, 2460, H4895, Varget, RL 10X and others.
Any preferences so you might narrow it down a bit? 3031 is an old standard and a very good one. TAC is one of the "cleaner" burning ball powders that is supposedly less temperature sensitive.
What do you want to do? What bullet? How fast do you want to go?