Preheat to 400°. Peel first 4 ingredients; cut into 1-inch pieces. (If your carrots are small enough, leave them whole.) Toss with shallots and next 4 ingredients. Place in a single layer in a 17- x 11-inch jelly-roll pan. Bake 30 minutes, stirring halfway through. Add garlic; bake 45 minutes or until tender, stirring at 15-minute intervals.
Note: You can prepare 4 hours ahead: Cool in pan 30 minutes or to room temperature; bake at 450° for 10 to 15 minutes or until hot.