What magnification scope was your cousin using?
High magnification normally means narrow field of view. Lower magnification normally means wider field of view.
You could always go with a variable power scope; find targets in low mag, wide view, then raise magnification for the shot.
You could also probably mount some other optic, such as a reflex sight or holographic.
Just pointing the rifle and firing, without referencing sights, normally isn't taught for anything beyond 20ish yards.