Heat oven to 450ºF and place a rimmed baking sheet in the oven to get it hot. While the oven pre-heats, prick the chicken skin with a knife all over, coat the skin with coconut oil, and sprinkle with salt and pepper.
Place the chicken skin side down on the preheated baking sheet and return the chicken to the oven and cook for 25 minutes.
Combine all dressing ingredients in a blender and blend until smooth. Adjust lemon juice and salt and pepper to taste. Reserve dressing until chicken is done cooking.
Flip chicken over so the skin is facing up. Turn on the oven's broiler and broil for another 5 minutes, or until the skin is golden brown.
Remove chicken from the oven and rest while you prepare the salad.
Combine butter lettuce, cucumbers, and sliced watermelon radish in a large bowl. Toss with the dressing and top with halved soft boiled eggs. Slice chicken into strips and place on top of the salad and serve.
Notes
If you make this with aioli in place of the avocado, the nutrition is as follows:Avocado Dressing: Calories: 343, Carbs: 7, Fiber: 4, Fat: 36, Protein: 2Salad with Aioli Dressing: Calories: 691, Carbs: 4, Fiber: 1, Fat: 64, Protein: 26