This is why it is critical to conduct hot weather testing when designing an engine cowling. Many aircraft manufacturers skip this step OR not in the environment that would allow them to conduct this type of testing. Designing a cowling is not as simple as making holes larger or smaller, as there's a science to it. A bigger hole/opening in one area may take airflow away from another location and not allowing sufficient exiting airflow may not allow the hot air to escape and create a buffeting zone at the entrance (no airflow).
It can take many hours and multiple flight tests with temperature probes to get it right. It's important to not only worry about coolant and oil temperatures but other components such as fuel lines (fuel) and electronic temperature limitations as well! (ignition modules max temp are 80 °C (176 °F)
The Rotax installation and operator's manual will provide you good reference when determining the proper temperature, but the ultimate design of the cowl is up to the builder/manufacture.