Don't let'em rot
The trick bagging bosses alive is. Below the heatlh bar is a blue bar. You need to get the blue really low to do this go on a consent attack. Once the bar has about 1/8 left in it. Start doing stranger's melee attacks bye pressing either the L or R buttons in thrid person view to nock the boss to the ground. Then quickly bounty him to get the better cash prize of bounting the boss alive.