It is amazing the Rube Goldberg contraptions folks will put together sometimes. And I'm afraid adding the inverter you will need looks to me like just such a deal.
Coffee makers are not magical, they certainly do nothing that a percolator or tea pot on the propane stove can't do for zero investment in "stuff" you'd have to wire up and then drag around with you.
Come to think of it, microwaves aren't magical either. There is nothing that can be made in a microwave that cannot be made with a Dutch oven on that same propane stove. They even make stove-top poppers for making popcorn to watch with TV. And for a TV, all you need is a little bitty inverter, 200-400 watts is plenty, provided you don't already have a 12v TV.
And frankly, if it were me, I'd spring for a 12 volt TV before I'd blow money on any inverter. It simply makes no sense at all to start with a 12 volt battery, invert it to 120 volts AC, only for the TV you got that ONLY plugs in to such power to then internally drop it back to 12 volts DC. That's two rather wasteful and un-necessary steps in the middle.