In a medium bowl, whisk together the yogurt, oil, ginger, paprika, lemon zest, honey and ½ teaspoon each salt and pepper. Add the shrimp and toss to coat; let stand at room temperature for about 30 minutes. Heat the oven to broil with a rack about 4 inches from the element. Set a wire rack in a broiler-safe rimmed baking sheet, then distribute the shrimp in an even layer on the rack. Broil until the shrimp are just opaque and lightly charred, 4 to 5 minutes.