I am trying to determine which scope would be best to mount on a Remington 700 243 caliber for coyote hunting. I am thinking something with second focal plane in a 3-9X40 with side or parallax adjustment. I am thinking most of my shots would be 200 yards. Would going with 50 mm objective lens be of any benefit? Would I need any more magnification than 9 power? I would like to keep the cost around $500 to $900. Thanks!