Place a small roasting pan in oven. Preheat oven and pan to 500°.
Cut tops from carrots, leaving 1 inch of greenery on each carrot.
Stir together olive oil and 1 Tbsp. butter in preheated pan. Add carrots, salt, and pepper; toss to coat. Bake 10 minutes.
Meanwhile, melt remaining 2 Tbsp. butter in a small saucepan over medium-high heat. Add shallot; sauté 1 minute. Remove from heat, and stir in Bourbon Honey and next ingredients. Return to heat, and bring to a boil, stirring occasionally. Reduce heat to medium, and cook 5 minutes or until mixture is syrupy.
Drizzle syrup over carrots; toss to coat. Bake 5 to 7 more minutes or until carrots are crisp-tender. Transfer to a serving dish, and sprinkle with thyme.
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