Here is the problem with radiators in tractors used for field mowing. Plants contain sugary starches. When heated, those do congeal into the solid mass they were before they hit the radiator. The debris enters primarily from the front. I like Talcott1's idea of the leaf blower; which also makes a great chamois after washing your beast.
I just recently replaced my battery. When doing so, I especially noticed all of the radiator fins behind the battery compartment were plugged with hardened plant dust. Using compressed air, I was able to carefully blow out the clogs from the front, thus forcing them toward the engine. Next time I do this, I thing I will take the time to remove the fan shield. Doing so will enable me to get my air gun into a position to blow the dust from which direction it came.