The bad thing about bounties is that the money needs to come from some place. Who is going to pay for it? If it comes out of the budget of the game dept, than that is money that cannot be spent on things like habitat improvements etc... Somebody needs to budget for it but nobody ever wants to pick up the tab.

A better way to control coyotes is to increase the value of the fur. When fur prices are high, lots of hunters and trappers go for them. When fur prices are low, they don't bother.