Savage makes a youth/women's model .243 that's really small, and super accurate. I think they offer a package that comes with a scope already mounted for about $400'ish. My uncle bought one last year for his daughter. She gave up hunting after one season, so he uses it now for groundhogs and doe hunting. The trigger on this gun is as good as you'll find on any factory rifle. It's a little short on an adult man, but since it barely recoils, it doesn't make much difference. You won't find anything much cheaper or more accurate.

SAVAGE 11FYXP3 YOUTH MODEL