Savage Arms has a bunch of solid, decently-priced bolt action rifles. You can find plenty chambered in something that will pack more of a punch than a .22, too.
One thing to consider is ammo availability. While you're looking at guns, it might be a good idea to swing by your local sporting goods store (or wherever you'd buy ammo) a few times to see what's generally available. I've seen .30-06 available pretty consistently where I am, but you might have a different experience.
Savage Arms has a bunch of solid, decently-priced bolt action rifles. You can find plenty chambered in something that will pack more of a punch than a .22, too.
One thing to consider is ammo availability. While you're looking at guns, it might be a good idea to swing by your local sporting goods store (or wherever you'd buy ammo) a few times to see what's generally available. I've seen .30-06 available pretty consistently where I am, but you might have a different experience.