Using tongs slung through the cavity of the chicken and your hands to support it, carefully transfer the chicken from the slow cooker to a cutting board, leaving the drippings behind. Remove the potatoes from the slow cooker with a slotted spoon and put them on the prepared baking sheet. Carve the chicken and put the pieces on the baking sheet skin side up. Drizzle the chicken all over with the miso-honey mixture, then broil the potatoes and chicken until the chicken skin is caramelized and crisp, dark golden brown, about 5 minutes. (Don’t walk away; the skin will burn quickly because of the sugar in the honey.)