Weapon: Repeating Crossbow
Method: Started up Overwatch, first objective was to set TNT. Picked up the TNT and carried it to the identified location. Shot 1-2 animals with repeating crossbow. Stood next to the TNT box (yes, right next to it), shot the box. Died, but received the achievement.
Not sure, if this was luck/glitch/whatever, just thought I'd share. Thumbs up, thumbs down, I don't care. Goodluck.