In my opinion the 30-30 Win is not a good cartridge for novice shooters. For one it is anemic at best in factory loadings and it carries less energy downrange with more recoil than a 243 Win. Secondly, most rifles that you find in 30-30 Win are lever actions or single-shots. Lever actions and single-shots have hammers that can slip out from under small, excited thumbs and cause an unpleasant end to a hunt. Also, I wouldn't even consider taking a shot at deer sized game with a .22 caliber of any flavor. In some states it is illegal, but at best it isn't wise. There is a difference between varmint bullets and big game bullets and .22 bullets are generally of the varmint variety. Having said that, there are several cartridges that would neatly fit the bill. 243 Win, 6mm Rem, 260 Rem, 257 Roberts, 6.5X55mm,7mm-08 Rem or even the 270 Win. All have mild recoil with good knockdown power.