I hope that you found your cat. My cat Felix, a 7 year old neutered male went missing. When, I realized he was missing, I was frantic, and also tortured with guilt because I felt responsible. He got out the screen door. I live in a residential neighborhood, but there is a lot of road traffic due to the college nearby. My husband and I went out in the dark of night and looked for him. This continued the next day, of course I didn't go to work, because I was an emotional wreck. What I found to be the most helpful, was simply walking around and talking to neighbors, as well as passing them a flyer with his picture on it. A picture with your contact information on it would suffice also. I found that the personal touch of talking to people made a different. Last evening, a group of college girls, whom I spoke to during the day and passed a flyer to called at midnight, they found him under a car near their house. I am extremely grateful to them. Felix returned without a scratch on him. I believe that he was probably hiding most of the time.
I don't know if you tried any of these suggestions yet, but my guess is that your cat is alive and in hiding. If you didn't do so already, talk to neighbors, give them a picture of your cat and all your contact information. Also, take walks to look for your cat. We walked right by where our cat was found, but I believe he was probably too scared to respond when we looked for him. But one thing it will do, is help you leave your scent. So, if your cat does try to venture home, then she will be able to follow your scent.
I don't know if this helps or not. I hope that you find or will find your cat:)