In a blender container, combine bananas and strawberries or mango. Add nectar, yogurt, and honey. Cover and blend until smooth. Transfer to a glass pitcher or bowl. Cover surface with plastic wrap. Chill in the refrigerator for 4 to 12 hours. Stir mixture.
Tote in a prechilled 6-cup insulated jug, leaving room for shaking, or a tightly sealed plastic bottle placed in an insulated cooler with ice packs. Shake bottle well before serving. Makes 6 (7-ounce) servings.