I'd sure be modding the game, if I could. Here are some trait ideas I've had for a while:

Babysitter - no penalty to skills when acting as a caretaker
Lumberjack - occasional bonus materials when chopping wood
Marauder - bonus defense (+4) when defending against, raiding, or attacking another faction
Peacekeeper - bonus leadership (+1) when armed
Field Researcher - gains engineering skill performing any mission (as if the mission were research or crafting)
Fell Tanner - occasionally gains bonus materials while fighting zombies
Herbalist - finds medicinal supplies while chopping wood (+medicine instead of +materials)