Grilled Cabbage

Sprinkle 1 teaspoon salt all over cabbage wedges and let sit for 45 minutes. Combine thyme, shallot, honey, mustard, lemon zest and juice, and ¼ teaspoon pepper in bowl. Slowly whisk in oil until incorporated. Reserve ¼ cup vinaigrette for serving.
FOR A CHARCOAL GRILL: Open bottom vent completely. Light large chimney starter filled with charcoal briquettes (6 quarts). When top coals are partially covered with ash, pour evenly over grill. Set cooking grate in place, cover, and open lid vent completely. Heat grill until hot, about 5 minutes.
FOR A GAS GRILL: Turn all burners to high, cover, and heat grill until hot, about 15 minutes. Turn all burners to medium.
Clean and oil cooking grate. Brush 1 cut side of cabbage wedges with half of vinaigrette. Place cabbage on grill, vinaigrette side down, and grill, covered for gas grill, until well browned, 7 to 10 minutes. Brush tops of wedges with remaining vinaigrette; flip and grill, covered for gas, until second side is well browned and fork-tender, 7 to 10 minutes. Transfer cabbage to platter and drizzle with reserved vinaigrette. Season with salt and pepper to taste. Serve.