Whisk together the olive oil and vinegars in a medium bowl and add the figs, olives, capers, bay leaves, minced garlic, 1 tablespoon of salt, and 1 teaspoon of pepper.
Place the chicken in a resealable plastic bag and pour in the marinade. Seal, pushing out as much air as possible, and squish everything around so the thighs are evenly coated. Refrigerate overnight.
When ready to cook, preheat the oven to 375°F. Arrange the chicken thighs skin side up in a single layer in a roasting pan. Nestle in the garlic head, cut side up. Pour the marinade over everything. Sprinkle the chicken with brown sugar and another 1/2 teaspoon of salt, then pour the wine around the chicken.
Bake for about 40 minutes, basting every 15 minutes with the pan juices, until the chicken hits 165°F and the skin's nicely browned.
Simmer the pan juices on the stove to reduce by half (optional but worth it, otherwise just serve straight out of the oven). Top with fresh herbs and enjoy.