That is not possible using template binding. You will need to unbind the network in question if you want it to have a different set of SSID's than the other networks.
But be careful if you do that! When you unbind a network it will revert to the configuration it had at the time you originally bound it. This means that you could potentially lose A LOT of settings if you're not careful. I usually suggest you build a new network and ensure it has all the settings you want, then move the hardware over to the new network when you're ready.