The NFL is very strict with this and only VZW has a contract for live streaming. It's available via an app for some Verizon phones, but not the Verizon iPhone.
One option would be a Slingbox, but that would require a hardware purchase and a $30 app. Another option would be a TV tuner card for your computer and the OrbLive app, which is $10. These apps allow you to stream live video and audio from your home to your iPhone over 3G.