The Kitchen Aid works great for sub-30 mins grind events. Perfect for grinding by the meal but do NOT try to wait until the end of hunting season to grind multiple animals with just one as it is not built for bulk work. At least not without frequent and annoying breaks for cooling.
Last year we did 74 pigs, 2 buffalo, a water buffalo, a neighbor's cow, 2 elk, and an unknown number of whitetails. So while our needs are much higher than yours, we started out where you are trying to save money and it ended up costing us $$$ in the long run.