Make Stream Available On Network And Internet Via Phone Tether / Wifi

Canon T3i hooked up to a laptop running ExtraWebcam and Yawcam.Yawcam running an HTML and Stream output to the network/web.I would like people to be able to access that video from the [the internet + network or internet or network] (those are the options/possibilities and the order in which I'd prefer).I am able to get people to access it via the network, but not the net. I'm using my Samsung Galaxy SIII on Sprint to tether (obviously not tethering if I'm only going to the network). Unfortunately, not only can I not access the stream via the internet, I can't even ping the phone.I'm pretty sure I need to open up/forward some ports, but I understand that that's not possible seeing as it's Sprint's network and not mine.

I will also have access to a local wifi network if there's a way to 'piggyback' off of that for web access to the stream even if I don't have access to the router control panel. I'm not sure if I'll have a hard wire connection to a router or not. I can, however, change the ports that the stream is set to.(also, I can bring a separate wireless router to connect to my tethered computer to open up the internet enabled stream to the network?)Given a laptop with a wifi card, a phone that can tether, a wifi network, and, if necessary, an extra wireless router, how can I stream from Yawcam and make it available to the internet if I DON'T have access to the wifi network's port forwarding? Note that I CAN edit the ports in Yawcam.