The Configuration Tool is supposed to be run remotely on the same LAN only. If you are trying to get it to work across the Internet you are up against it.
We did manage to do it once, but we had no firewalls whatsoever on both the client's and server machine. The BASServer.props file has to include the Internet-recognizable name, not the LAN-recognizable name - for example, IP address or Internet domain name.
Then you have to open the ports - and you need all luck you can get to identify the right ones. We are not sure what they are.
Maybe someone has successfully done it....