Heat gas or charcoal grill. Cut four 18x12-inch sheets of heavy-duty foil; spray foil with nonstick cooking spray.
In medium bowl, beat egg. Stir in 2 tablespoons of the baste and glaze, the bread crumbs, garlic-pepper blend and ground beef. Shape mixture into four 4x2-inch oblong loaves, about 1 inch thick.
Place 1 loaf on sprayed side of each foil sheet; place 1/2 cup of the carrots and 1/4 of the corn around each loaf. Drizzle with remaining baste and glaze. Wrap each packet securely using double-fold seals, allowing room for heat expansion.
When grill is heated, place packets on gas grill over medium heat or on charcoal grill 4 to 6 inches from medium coals. Cover grill; cook 25 to 35 minutes or until loaves are thoroughly cooked and carrots are tender, turning packets over once halfway through cooking. Carefully open packets to allow steam to escape; meat thermometer inserted into center of loaves should read 160°F.