Combine the white rum, cognac, orange juice, lemon juice and orgeat in a shaker.
Add crushed ice and shake hard for 10 seconds.
Pour unstrained into a large glass or tiki bowl.
Top with more crushed ice.
Garnish with a gardenia or an orange wheel and a mint sprig.
Trader Vic's, mid-century, and traditionally served in a shared ceramic bowl with long straws and a gardenia floating in the middle. The single-serve version loses the theatre but none of the drink.
My Bar Shelf reads your shelf and shows you every cocktail you can make from what you already own, including Scorpion.