Someone had posted a hog hunt photo with his K31 that did a very nice job of dispatching it not that long ago. I've never fired a K31, but it is on the list of stuff to get. I like Mausers, Nagants, and most other C&R stuff. How much do you want to spend? If I had had extra cash or been able to sell my AK earlier in the show, I would have walked out of the last one with an SVT-40 in very nice shape. It was about $600-700 IIRC. Garands can be had for about that at shows (but CMP is soooo much better), M1 Carbines are about $400-500 depending on location and condition.
"Cheaper" C&Rs run from $75-250, and these include such excellent pieces as the Nagants for cheap, nice Mausers, K31s, Yugo SKSs, and many more. Where to start the addiction is wherever your heart goes when you see one of these old beauties. In all honesty, any of these will work with your criteria, except the Carbine and the SKS might be a little on the small side for game, and the Nagants are fun, but aren't the most accurate thunder sticks out there. They make a wonderful boom, and if you get a carbine sized one, they have a really cool muzzle flash, even in daylight. Anyway, here's a couple thoughts for you. Enjoy yourself out there. They are an addiction, and I just need more of them.