Never used a CZ to hunt, but have taken about a half dozen deer with both the T/C Contender and the Ruger Redhawk. I have also hunted small game with all manner of handguns, but mostly .22 rimfire and .38 wadcutters.
I'd strongly suggest a low powered scope or red dot sight for hunting. I could not guarantee good hits with iron sights beyond about 25 yards in the woods (low light, woods, brush and game are a LOT different than high-contrast targets at the range), but used Leupold 2x EER and 4x EER long eye relief pistol scopes to good effect. A red dot sight works well too, I currently have one on my .22 handgun and it extends my effective range well beyond what I can resolve with iron sights.
In Maryland, where I hunted deer, there is a minimum muzzle energy requirement (600 Ft.Lbs) and minimum barrel length requirement (6") for big game. A 6" .357 Mag was the minimum allowable rig and what this energy/barrel standard was based on. I personally found the .357 Mag marginal and used the .30-30 Win, .35 Rem, .44 mag and .357 Max. I preferred the .357 Max for a balance between trajectory and recoil and used 180 XTPs most of the time.