I can't help thinking the usage model you want is more like a router or network appliance than a normal web server. Have you considered running your software o

I can't help thinking the usage model you want is more like a router or network appliance than a normal web server. Have you considered running your software on a synology box or similar high end NAS? Not sure it would work well if exposed to the internet, but if it's a small group and limited network access it could be quite a simple solution.