I have a bull barrel savage with thumbhole laminated stock that is wicked accurate. On my rimfires I prefer a variable with parralex adjustability on the scope. Most big game scopes are set at 100 yards and rimfires at 5o yards. This still is not good enough if you are trying to shoot a limb rat right between the eye and ear. To much error. Parralex adjustable scopes allow you to set the focal planes for the exact distance and take out all the "play" you get in a scope.
Anyone that does not get this concept, take a big game rifle with scope and lay it on a bench with sand bags or pillows so you can look through scope without moving gun at a target 20 yards away.. As you move your head around the crosshairs wll move all over the target. At 100 yards you will not see this. Thats why you can miss a limb ratsl head at 20 yards.