Each serving should be 1/3 ice cream, 1/3 Bailey’s, and 1/3 Coconut Rum liqueur
Set out ice cream to soften in a large measuring cup while preparing glasses.
Stir sugar into water and microwave for one minute to dissolve sugar. Put decorative sugar in a small dish. Dip rim of glass into sugar water then into decorative sugar, turning to coat. Repeat until all glasses are coated.
Add equal parts rum and Baileys to ice cream. Stir until melted. Pour into shot glasses and serve immediately. Mixture can be made ahead and stored covered in refrigerated.