Several years ago, my cat got out of the house soon after a move. Like you, I was heartsick. I put up posters, called the pound, went door to door, everything. We had moved several hundred miles away and I was terrified that she had tried to go back to our former home.
What worked was putting something on the lawn that had a scent she would recognize. We had another cat at the time so I took some of the "deposits" from his litter box and sprinkled them on our lawn. She came back the next day. She had been out in the woods in back of our house.
Please keep us updated. I hope your cat comes home. Beautiful Meezer!