Evaporative cooling is indeed more effective than ice / ice packs, and should be readily available in a hospital setting. (Not that you need me to concur. I'm prefacing with this so that it's clear that the comparative data I'm adding isn't to contradict you, but to add a more complete, data backed comparison - including other methods).
If anyone is interested in a comparison of the effectiveness of various cooling modalities (cooling rate measured in °C/min ), here's a relevant comparison chart image1 from
Casa et al. Cold water immersion: the gold standard for exertional heatstroke treatment.
Exerc Sport Sci Rev. 2007
doi: 10.1097/jes.0b013e3180a02bec.
PMID: 17620933.
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1 Figure depicts experiments with healthy hyperthermic athletes and heatstroke victims.
