Tropical fruit and rum punch

2 12-ounce cans mango nectar
2 12-ounce cans guava nectar
2 cups canned unsweetened pineapple juice
1 1/2 cups canned coconut cream (such as Coco Lopez), well mixed
1/4 cup fresh lime juice
2 cups amber (gold) rum
17 cups ice cubes
Fresh pineapple or lime wedges

1. Combine mango nectar, guava nectar, pineapple juice, coconut cream, lime juice and amber rum in large pitcher. (Punch can be prepared 1 day ahead. Cover and refrigerate. Mix well before using.)
2. Combine 1 cup punch and 2 cups ice cubes in blender and blend until smooth and thick. Pour into glasses. Garnish with fresh pineapple or lime wedges and serve. Repeat with remaining punch in batches.