Personally I think if you blow off his bottom jaw he's gonna bleed out long before he would die of starvation. That, or the infection would kill him. Not humane by any means, but a lot prettier picture than a jawless deer wandering around int the woods for WEEKS.
Besides, if you use a big enough round, it won't matter if you don't hit the sweet spot in the ear. You can hit him in the jaw and still take his head off.
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