Your swing really isn't "inside out". The plane is down, out, and forward. You are swinging on plane. The plane continues downward, outward, and forward until low point which is IN FRONT of the ball. Since it is in front of the ball, you have to contact the ball while you are still traveling down, out, and forward and continue doing so until you reach low point. A push is a sign that the clubface has been left open.