Here's an interesting product. Some small and relatively cheap power stations are now capable of running much larger appliances. Pecron E600 for $299 can power up to 1200 watt appliances such as microwaves and hot plates due to it's large inverter. Basically this is cheaper than installing a large inverter. Only issue is it's battery only has 600wh capacity. If you are only going to use the power supply for cooking and LED lighting, this is a pretty cheap option. It can recharge pretty quickly by solar or AC also. I think I would need to drive/run my Gladiator for 1.5 hours to recharge it using my built in inverter or 3 hours with a 200Watt Solar collector.
I think this is the cheapest way to power an electric hotplate, coffee maker, and/or microwave. Your wife can even bring a hair dryer if you're willing to give up your morning coffee! Probably only good for one day before needing recharge.