Prep: 25 min., Grill: 6 min. We used a vegetable peeler to get long, thin carrot ribbons to garnish the sandwich.
Stir together cream cheese, carrots, and pickles in a small bowl.
Unroll dough, and place on a lightly greased 18- x 12-inch sheet of aluminum foil in a jelly-roll pan. Starting at center, press out dough with hands to form a 15- x 10-inch rectangle. Brush dough evenly with oil, and sprinkle with salt and pepper. Invert dough onto hot cooking grate of grill; remove pan, and peel off foil.
Grill dough, covered with a grill lid, over medium heat (300° to 350°) 2 to 3 minutes on each side or until lightly browned.
Spread cream cheese mixture evenly onto 1 side of crust. Top evenly with sprouts and next 3 ingredients. Cut into 6 pieces. Garnish, if desired.