I've looked at an off grid cabin for weekend vacations. A few portable propane cylinders would cover the fridge (assuming a pound/liter of LP gas a day), and it would also cover a water heater.
Solar wouldn't be cheap, but for a few thousand, I could place a number of solar panels, have them feed in via 1-2 decent MPPT controllers into a set of AGM batteries (so watering the batteries isn't an issue), then have a decent PSW inverter coming off for use. Because lead-acid batteries destroy themselves if they go under 50% SoC, take the expected ampere-hours you plan to use, and double it, at the least. This would easily handle almost anything but heating/cooling and the well pump (which can use 1500-2000 watts each.)
The trick with the well pump and an off-grid cabin, would be to run a generator so the pump can move water into an above ground storage tank 250-2500 gallons, then from there, a much smaller pump that runs from 12 volts can pump water from the tank into the cabin.
Of course, come Texas summers, that is what a generator is for on a weekend basis. I can get 8-20 hours of use from three gallons of gasoline in a 3000 watt Yamaha inverter generator, and for a small cabin, a 10k BTU A/C is more than enough to cool it down, assuming some semblance of insulation . As an added bonus, with a converter (rectifier), it is a way to help keep the batteries topped off if the panels can't keep up with use.
Disclaimer: This is a vacation cabin. For a real house, it would cost over $40,000 for a solar panel setup that can handle the amp draw of the well pump and the A/C.
Of course, there are other items like waste water (I like using a cassette toilet and having cartridges on hand, since those can be dumped down the commode safely and legally once back home, and gray water can be filtered and recycled in a settling tank so it doesn't destroy the ground around it.)
: Ironic thing is that if solar panels are mounted with air space between them and the rest of the roof, they function as shade, doing a decent job at keeping the place cooler, even though the panels are likely at around 150 degrees (66 degrees C) on a hot day.