I am not visiting the West, where Argentinean mountains are, but the Mesopotamia in the NE.
If you do not mind about cold weather, you should research the Patagonia. Check San Carlos de Bariloche and the surrounding areas. A little bitt norther you also have Mendoza.
If you prefer a warmer and drier climate, check Salta, San Salvador de Jujuy, or San Miguel de Tucumán.