Bring in cucumber, apple sticks, radishes, and any other favorite veggies. You have two dip sauces — go ahead, this is your crudité party.
Preheat oven to 400°F.
Scrub carrots and rinse off any dirt. Trim tops off and set aside to use in romesco. Place carrots in a large foil pouch, add garlic and 1 tablespoon of the olive oil, and season with the salt. Place on a baking sheet and roast until carrots are tender and a knife inserted goes right through, about 40 minutes.
Transfer contents of the foil pouch to a food processor and pulse to chop. Add the remaining 2 tablespoons olive oil, chickpeas, peanut butter, and lemon juice and puree mixture until smooth, 2 to 3 minutes. Taste and season with additional salt as needed. Set aside.
In a small skillet over low heat, toast coriander and cumin seeds until fragrant, about 1 minute, shaking skillet often. Remove from pan and set aside. In the same pan, gently toast benne seeds until fragrant and a light golden brown, about 1 minute, shaking skillet often. Remove from pan and set aside. Toast peanuts in the same pan until fragrant and a light golden brown, 2 to 3 minutes, shaking skillet often. Remove from heat and once cool enough to handle, roughly chop.
Using a mortar and pestle, crush toasted cumin and coriander seeds. Add roasted red peppers and garlic cloves and crush. Add carrot tops and peanut oil and lightly crush. Transfer rough-chopped paste to a bowl and stir in lemon juice, paprika, and salt. Add benne seeds and chopped peanuts and toss to combine.
Place carrot dip in a bowl, spoon romesco in center, and swirl. Serve with your crudités of choice.