As expected, radiator shops don't want to fix a plastic-tanked radiator; the local one said "more expensive to fix than to replace" and then heard it was for a tractor and got off of the phone asap. My dealer's sending me a new one in tomorrow's UPS drop; hopefully I'll have it Thursday.
I checked the oil - no milkshake visible yet, just nice diesel-blackened oil. We'll see after the radiator's back on.
To those following who didn't read at least two of my postings: I was hogging in long (for here, at least, this isn't a prairie) dry grass, didn't watch the temperature gauge and didn't pay any attention to buildup on the radiator chaff screen, and it overheated. Everything on the tractor was in excellent condition beforehand. Mea culpa.
Has anyone ever installed some sort of audible alarm for high temperature? All the sudden that seems useful. My attention was pretty well fixed on where I was backing the tractor into to mow the banks of my pond and avoid taking a bath, and avoiding a few large rocks I remember being in the general area; seems that having something squawk at me would be helpful in the future.