IMHO, the 7.62x39 is best left to the handloader and falls far short of the .30-30 in effectiveness. It's good to a couple hundred yards on small deer (light bullet for its caliber). The .30-30 in a bolt gun (I had a 340 Savage) has the distinct advantage of being able to shoot a spitzer boat tail and, heck, now days there's even the factory option of lever evolution stuff from Hornady that gives the .30-30 little more range than the 7.62x39 and potentially more penetration and assured expansion. Having loaded for and used the 7.62x39, I'm not as high on the round as I once was. Just the fact that .30-30 hunting ammo is available everywhere and that it can shoot up to 170 grains (the Nosler partition 160 is a heckuva hunting bullet), I prefer the .30-30. A 7.62x39 bolt gun, though, would likely be extremely accurate IF it had a .308 diameter bore. I don't know that the CZ has that, probably not, probably .311" which is standard for the caliber. That severely limits bullet choice for hunting. A .308 shoots about as well out of my SKSs as a .311, but they're not exactly bench rest accurate in the first place. 3" groups at 100 is normal for them.
If I wanted a .30-30 hunting rifle that wasn't a lever gun, I might consider a TC G2/contender carbine. It'd be a really handy, uber accurate little rifle. Single shot, but so what? I hunt with a 12" Contender pistol that is very accurate in .30-30 and effective to 200 yards with a Nosler 150 BT. Give it a 16" barrel can only extend that effective range and I could shoot it better in the field with a rifle stock. I have no doubt I could get 300 yards out of it effectively for deer hunting.
That old Savage 340 was 1 MOA accurate with about anything I shot out of it. Amazing for a bargain shelf rifle. If you find one, though, be sure it has a scope mount with it. I doubt it'd be easy to find that weird side mounted scope mount now days.