Whisk 1 cup cream and egg yolks together in a bowl until smooth.
In increments of 1/4 cup, pour 1 cup red hot candies mixture into the cream-egg mixture; whisk until mixture is evenly combined. Pour cream-egg mixture into red hot candies mixture in the saucepan. Cook and stir until a film forms on the back of a spoon when dipped into the mixture, keeping just under a boil, about 5 minutes.
Pour red hot candies mixture through a sieve into a bowl to collect any undissolved candies. Cover the bowl with a clean towel and cool to room temperature. Refrigerate until chilled, at least 1 hour.
Pour red hot candies mixture into an ice cream maker and process according to manufacturers' instructions.