Mix broth, soy sauce, vinegar, honey, garlic, and ginger in a 4-quart slow cooker. Add chicken; turn to coat.
Cover; cook on high 2 1/2 to 3 hours until chicken reaches 165°F.
During the final hour, bring rice and 1 1/2 cups water to a boil in a covered saucepan. Reduce to low; cook 40 to 45 minutes. Rest covered 10 minutes.
Transfer chicken to a plate. Mix cornstarch with 2 tablespoons cold water; stir into cooker. Add water chestnuts and snow peas. Cover; cook on high 10 to 15 minutes until lightly thickened and peas just tender.
Cut chicken into bite-size pieces; return to hot sauce. Stir in cashews just before serving.
Divide rice, chicken, and vegetables among 4 bowls.