Red? Green? Christmas? It’s safe to say that Las Cruces, New Mexico is America’s epicenter of chile pepper tourism. And if you’re driving through the markets of nearby Hatch you’re going to need a place to stay. So where better to rest your head than the Big Chile Inn and Suites, in full view of the world’s largest chile pepper parked out front? The inn actually predates the giant mimetic capsicum plopped in its parking lot. In the 1960s, the motel was a traditional Ramada Inn. Clint Eastwood once stayed…