Heat half the oil in a non-stick pan over medium-low heat. Cook the sausage patty on both sides until it is no longer pink in the middle to an internal temperature of 155°F (68°C) using a thermometer. Add the cheese on top to melt.
Heat the remaining oil in a nonstick pan over medium heat. Crack the eggs into the pan and cook until they start to set. Flip the eggs over to cook to your liking. (Your choice to cook longer for a more solid yolk or less for a more runny yolk.) Season with salt and pepper.
Lightly toast the bagel.
Place the sausage patty on the bagel and top with eggs.
Combine the ice, coffee, choice of creamer, and choice of sweetener in a blender and pulse/puree until frothy and the ice is pulverized. Pour into a glass, top with whipped cream and chocolate syrup.
Cut the sandwich in half and serve with iced coffee Frappuccino.