US domestic soft points actually have a little thinner jackets than the Russian bimetal, which means better or at least earlier expansion.
Winchester, Remington, and Federal all make decent ~120 grain soft points and Corbon makes a very good ~150 gr soft point. I think either would suffice for whitetail deer. For hogs, I'd go heavier and heavier wouldn't be a bad thing for deer either... Possible feeding issues with heavier soft points, but should hand chamber just fine.
The Hornady polymer tip would probably suffice as well, but I worry/wonder about sufficient penetration for deer with that rapidly expanding ~120 gr bullet.
7.62x39 in the ~150 gr range has ~90% or so of the energy of a 30-30 Winchester, so it's definitely potent and adequate. And the bullet mass is such that it'll give similar penetration to 30-30 though slightly less energy (so similar permanent cavity, 30-30 soft point bullet might mushroom a little sooner and 30-30 will have slightly larger temporary cavity, but permanent cavities/wound tracks should be quite similar).
Just be aware and do your homework or at least test fire at expected ranges if you have a CSA/Czechpoint rifle. Their barrels are .311 diameter, whereas Century's are .308. A lot of domestic 7.62x39 producers make their 7.62x39 bullets .308 in diameter, which does result in reduced accuracy out of .311 barrels. I believe the Mini-30 is .308 diameter barrel but not 100% certain... (But .308 and .311 are close enough that there's no danger/issue w/ shooting russian diameter bullets out of the .308 barrel... So let's not start that argument.)
That said, any of the bear soft points -- brown, silver, golden -- should work as well, they just won't be as effective as the american domestic stuff... Generally speaking, the bear soft points seem to provide better results in ballistic gelatin than the Tula loads...
I stock the Hornady for home defense, and Russian soft points for hogs, but for deer with tag limits, tracking blood trails for an extended time/distance in the cold, etc, I'd definitely spend a little more for a better domestic round.