Simmer bourbon in a small saucepan for 3 minutes. Pour it into a 5-quart slow cooker with apple juice, soy sauce, brown sugar, ketchup, vinegar, garlic, ginger and pepper.
Add chicken and coat with the sauce. Cover and cook on low for 5 to 6 hours until chicken reaches 165°F and is tender.
During the final half hour, bring rice and its measured water to a boil in a saucepan. Cover, cook on low for 18 minutes, then rest off the heat for 10 minutes.
Lift chicken from the sauce and cover. Skim the cooking liquid, pour it into a saucepan and simmer uncovered for 5 to 8 minutes to reduce slightly.
Mix cornstarch with cold water and whisk into the sauce. Simmer for 1 to 2 minutes until it coats a spoon, then fold in chicken and heat until it reaches 165°F.
Divide rice among 6 plates and spoon the chicken and dark sauce over it.