Shaving big areas is a bad idea for an anthro; it makes you look horrible and the skin underneath is horribly vulnerable to UV damage. Even more than for humans because our skin is MADE to be constantly exposed.
As for ice water, forget dumping it down one's pants and just go soak your head. Really. Makes you feel nice and cool in a gosh-darned hurry...*without* the unpleasantness of wet pants and/or underthings.
