Pat the chicken dry until the skin feels tacky. Rub olive oil all over, then season generously with salt, pepper, smoked paprika, garlic, and rosemary.
Place the chicken breast-side up in the slow cooker. Pour broth, honey, soy sauce, and vinegar around the bird. Add optional veggies if using.
Cover and cook on Low for 6 hours (or High for 3 hours) until internal temp reaches 165F (74C).
Pre-heat oven broiler to high 500F (260C). Transfer chicken to a baking sheet skin-side up. Broil 3-5 minutes until skin is deep golden and crispy.
Rest 10 minutes before carving. This lets the juices redistribute for a moist result.
Carve and serve, or store sliced in airtight containers for up to 5 days. Reheat with a 2-minute broiler blast.