I don’t know any other automatic methods. If what you want is the same IP address assigned to your board maybe you can go into the router settings and assign the IP address desired whenever the Edison’s mac address is detected. Regarding the Edison image, the one provided in the Software Downloads is the latest one.
I have built a solution to get around static IP, port forwarding and other such connectivity issues for Edison. It helps easily deploy APIs into the IoT devices. So, you could instantly control these devices from anywhere in the world. We are looking for private beta users. If you are interested, please let me know.