Even with a pretty big leak, it would be possible to overpressure the cooling system with an air hose, so restrict the airflow somewhat, either with a pressure regulator or by putting a kink into the hose. A quick and dirty flow control could be a zip tie over a pinched-down air hose to let a moderate volume enter the radiator through a hose wrapped with a shop towel inserted into the fill hole in the radiator.
Jerry