I asked support if they could make some fallback configuration in case of a restrictive firewall and this is the answer I received.
I have just reconfigured the server for live.blinkstick.com to operate on ports 9292/80 for non-SSL and 443 for SSL connectivity. Client application still uses 9292 to connect to the service so I will have that updated too.
Now I'm just waiting for another RC release and see if it fix my problem at work. Hopefully it might help others!
EDIT: Meanwhile, you can change the data.json file with the following to use port 80 instead of the default 9292.