In this video guide I will show you how to complete a map without any players on the team killing a single ridden and complete a mission without any players being incapacitated or killed.
Pretty easy, just load up Act 1, level Resurgence on recruit. Then just run to the next safe house without stopping for anything. If you know the level you should make it without getting downed and as long as you don't shoot or melee anything you should get both achievements. The bots can kill the enemies without voiding the achievements.