If you squint just right, Hedges Family Estate could be mistaken for a centuries-old château in Champagne, France. The grand façade of the sandstone-colored chateau and courtyard gives way to a tasting room that feels like a well-worn European estate. Lace curtains framing huge windows let the jewel-toned light onto the mahogany bar and the many bottles lining the shelves. Not too far away, meticulously manicured gardens lead to rows of disciplined vines, their roots deep in Red Mountain’s...