Add 1 chile to each ice cube or ice sphere mold and then fill with water. Freeze overnight.
For the Oregano Simple Syrup:
In a small saucepan, bring sugar, oregano, and water to a boil; simmer until the sugar is dissolved, 3 minutes. Remove from the heat and let steep for 1 hour or as long overnight; strain. Will keep refrigerated for one month.
For the Punch:
Stir together punch ingredients in a punch dispenser. Add chili ice cubes or spheres to your punch. Pour punch into a tea cup or small rocks glass. Garnish by placing a lime wheel in each glass and dust with cayenne powder.