We always have extra beer.If I am not mistaken, if you have TV at your tailgate you also must have extra beer to accommodate The people from the message board who will congregate around your television
There are some pretty cheap small generators. Amazon.com has them as cheap as about $100 and Harbor Freight sometime has an add for a cheap one. With todays LED tvs, don't need a big one unless you are trying to provide other services. Could run the car but that gets expensive. THat said, Battery with inverter would keep you from hauling gas. Look in solar energy suppliers. Other alternative is I would look at propane fired. Rather cart around a propane tank than a gas can. Those will cost you about $250.I looked into this last year. For me, the generator was cost-prohibitive (and a little too big to fit into the car with all the other stuff), but apart from that I would actually recommend a Directv portable dish over a hotspot unless you're sure that your LTE connection can support that kind of sustained connection...nothing worse than having choppy, unreliable video after you've spent all that $ on a setup, unless you just want OTA network access to ABC.
A solid battery and inverter should be able to do the job with the low power requirements of newer tvs. Solar system batteries could work as well. Typical cost for 12 volt 100-125 amp hour battery would be about $250 but would still need a charger and an inverter. Inverter probably costs about $65. Otherwise could go for 35 amphour batteries at around $100 but still need inverter and a way of charging it.Led TV to a laptop or IPad surge protector to converter to marine battery. No noise from a generator, you don't have to keep a car running. You will need some streaming source.