The night before serving, stir together 8 ounces each of the tangerine and cranberry juices and divide between 2 small, uncovered food-storage containers.
Place 3 basil sprigs in each container and freeze overnight.
Pop the frozen juices out of their containers and place in a half-gallon pitcher.
Add the remaining 8 ounces each of tangerine and cranberry juices, along with the açai juice, rum or vodka and Campari.
(If you can't find açaí juice, substitute extra cranberry or tangerine juice.) Stir, and garnish with lime, orange and lemon wheels.
Serve in tall glasses filled with ice.