I would only get within eyesight of your place, then come to a stop and wave a white flag and get recognition from you that you wouldn't shoot me, before I advanced. I'd also wave a bottle of Jack Daniels to help insure you wouldn't shoot. See, you might hit the Jack Daniels and that would be my insurance you wouldn't shoot even though you said I could advance.
I really get tired of the posts to get a gun and go after someone elses water/food. Someone who is a prepper will take out anyone coming after their supplies. To suggest that for someone to do is inviting him/her to commit suicide. I have so much security to alert me someone is here, there is no way the zombie lives. I've been checking out zombie recipes, no sense in wasting meat.