To make the cakes, puree 1 cup of the peas in a food processor. Place the pureed peas and the remaining whole peas in a bowl and add the remaining cake ingredients. Refrigerate the mixture for at least 1 hour, and up to 24 hours.
Prepare the smoker for barbecuing, bringing the temperature to 200°to 220°F. Grease a smoke-proof baking dish.