If you are set on one of the two rifles you listed, you almost have to go with the mini-14. The 30 Carbine just doesn't enough power to really be counted on to do whatever you may need it to do. Neither does the mini-14 really, but it is still a little better. I have shot them and although they did work with the factory ten rounders, they didn't like most hi-caps. I also saw one get the bolt stuck back and we could not get it to go forward. I don't own one, so my experience is limited, but I wouldn't want one.
Others have listed the Saiga, SKS, or a lever action 30-30. I would also suggest one of those, along with maybe an old Mauser, Enfield, or Mosin Nagant. If it is gonna get handled rough and beat around anyway there is no sense in starting out with a pretty new gun or a collectible old one.