Good cheap rifle
You must be patient and shop, shop, shop. Pawn shops, gun dealers (good luck) gun shows, shooting clubs and shooting ranges are good places to look for what you want. I agree with the guy that said good wood stocks are expensive. One of the things you might consider is a sporterized version of some of the military rifles. My dad had a sporterized springfield 03 that was incredibely accurate. Cannot remember if it was a two groove or four groove barrel, one of them is more accurate. Some of these older guns have fajen stocks which were a good tradeoff between very highly figured walnut and nicely figured walnut. Also, consider a good shooter with a stock that can be refinished.