I got an idea for the class.
The civilian, average player but knows the area very well. Though that wouldn't make sense since the cop may know more about the town than average joe.
That sounds okay, though since I want to make exploration a key part of the gameplay, I'll give him the ability to run faster.
@Stare: That sounds okay, but I think it would work better to give the homeless drunk the ability to "zombie walk" amoung the zombies without detection (After all, he's a homeless drunk). And I'm not going to make him faster, just normal speed, but he'll also be able to gain health from alcohol, unlike other characters.