Why would that network need to provide internet connectivity? Have the Wi-Fi gateway perform the authentication and provide an interface, or use a vlan connected to a server that handles that.
> Those features are not found in 'normal' wifi routers
Then deplore the state of current consumer wi-fi routers and protocols. We can do better than this.
More to the point, Wi-Fi wasn't really designed for this, so maybe a new kind of extension is warranted (like NAN, P2P, mesh, etc). Or use another protocol: Zigbee, Lora, z-wave, etc. These generally have the guarantees you want, sometimes do mesh networking, etc.
In the past, I've used a raspberrypi3 as a "IoT hub", using its wi-fi network to connect "smart" devices. The third-party server was my hub. Everything works without internet. The dedicated wi-fi network doesn't have internet. You can even lower the bandwidth to 20 MHz, and 1Mbps to achieve greater ranges on that channel.