Make the caramelized sweet potatoes: roast 4 sweet potatoes cut side down at 375 degrees F for 1 hour, then mash (see the full recipe).
Add the chicken breasts and barbecue sauce to a pot or skillet, cover, and cook over medium-low heat for about 25 minutes, until cooked through.
Shred the chicken with two forks and stir it back into the sauce.
Make the coleslaw: in a bowl, mix the coleslaw mix with the mayo, apple cider vinegar, maple syrup, salt, and pepper.
Plate the mashed sweet potatoes, top with the BBQ chicken, and add a generous scoop of coleslaw. Serve.