Firewalls are one of the common causes of this error, but certainly not the only one. Let's see if we can help you narrow this down.
You mention that the computer is set to a "public" Network. This setting will keep your firewall settings and exceptions from allowing your SoundTouch software to communicate. Please set the network to a different private option. (home, work, etc.) and see if this helps.
Sep 22, 2015
Dec 25, 2015
The most common cause of this symptom is a firewall on your Windows 10 computer blocking communication between the speaker and your computer on specific ports. Do you run any security or antivirus software on this machine?