We have to make some assumptions. Let's first consider what we mean by a neutral conductor with small balls of negative charge representing electrons. For the positive charge, let's assume a continuous uniform background ("jellium", if you will) whose total charge is equal to the total charge of the electrons. Let's also assume that the electron balls are small enough so that they don't fill the volume of the conductor, and that they can move freely except for when they contact another electron. Also assume that the charge is concentrated at the center of the ball, and that there is some kind of shell that forms the ball. I make this assumption so that we can allow the balls to touch each other. (uniformly charged balls might be able to touch each other, but I'm not going to take the time to figure out if they can or can't) [Notice already how many strange assumptions one needs to make progress with the question.] The electrons will move to a configuration of lowest potential energy (or close to the lowest; It might not find the absolute minimum). They will be distributed relatively uniformly in a layer of non-zero thickness at the surface, but not completely uniformly because they have finite size. The field inside the conductor will not be identically zero. The graininess of the positions of the electrons prevent them from achieving the distribution that produces zero field. Near the surface, within the layer of electrons, the field will vary wildly. The field will get smaller and smaller the further you probe from the surface.
Now add two more electrons. Again, the electrons will redistribute to "try" to minimize potential energy. If the conductor is a solid sphere (a "ball"), then you will end up with two areas where there is a higher concentration of negative charge, and these areas will be diametrically opposite each other across the sphere. The field within the layer of electrons will again vary wildly from place to place, but differently than for the neutral conductor. The field inside the sphere will become smaller the closer to the center that you probe, but the "healing" of the field will occur over a longer distance than that for the neutral conductor.
I hope this helps, but it's rather non-physical. I suppose it might model some system, maybe charged plastic microscopic balls in a fluid. Not sure.