I don't put it in neutral but I regularly push the clutch in and coast long grades around here, letting the clutch out now and then to keep speed in check. I'm always 'in gear' and the way I do it anyhow, is no more dangerous than driving up the hill under power at the speed limit. I'm selective where and under what conditions I'll coast and I suppose that's part of the difference. The rest of the equation probably comes from years of surviving thousands of miles of mountainous twisty road every year and taking "hurry" out of my driving style long ago.
Now with that long-winded qualification out of the way so I hopefully don't get scolded for being a reckless menace to society

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I don't experience any heating while coasting and in fact the temps will come down if I've raised them cresting the hill.
2mbb is probably already on to your issue suspecting the thermostat, and that the spike in temp you see is maybe the rare occasion your rig reaches normal operating range. Do your temps come up at idle while NOT coasting down a hill? If you're genuinely observing HIGH temps, maybe your water pump deserves some investigation too.
Butt