1. Sprinkle steaks with cracked peppercorns and coarse salt. Let stand at room temperature 30 minutes.
2. Melt 1/2 cup butter in large skillet over medium heat. Stir in Worcestershire sauce and vinegar. Stir in mushrooms. Sprinkle with salt. Remove from heat.
3. Prepare barbecue (medium-high heat). Grill steaks until cooked to desired doneness, about 5 minutes per side for medium-rare. Transfer to plates. Top each steak with 1/2 tablespoon butter. Tent with foil to keep warm. Grill mushrooms until soft and beginning to release juices, about 3 minutes per side. Divide mushrooms among steaks and serve.
4. Test-kitchen tip: To make crisscross grill marks, place steaks on the grill pointing to ten o'clock. Halfway through cooking on one side, turn steaks to point to 2 o'clock. Turn steaks over and repeat.