Set your oven to 400°F to get it ready for roasting.
Arrange the carrots on a baking sheet, add two unpeeled garlic cloves, drizzle with olive oil, and season with salt. Roast for 35-40 minutes, stirring halfway, until the carrots are golden and tender. Let them cool slightly.
In a food processor, combine the roasted carrots, goat cheese, maple syrup, lemon juice, and a tablespoon of olive oil. Blend until smooth, scraping down the sides as needed. Adjust seasoning with salt and thin with warm water if desired.
Transfer the dip to a serving dish, spreading it out evenly. Sprinkle with Aleppo pepper, chopped basil, and a final drizzle of olive oil.
Pair with warm pita, crackers, or fresh veggies, and dig in!