My suggestion would be to go with a 24, or 48V AC cabin system. The single cheapest components right now are
solar panels. Don't buy little 12V panels you see
online. You get far more bang for your buck going with large residential panels in the 250-350W range. With a good MPPT controller, a series string of several large panels will be transformed down to battery charging voltage, making extra charging amps out of the extra volts.
Some may recommend a 12V RV style system, but I'd say that's a mistake. 12V is just too limiting. As you scale up to higher system voltages, you gain a LOT of capacity. My 48V cabin system can run my 240VAC well pump. It's a 1hp Grunfos.
Where you need to start is with an itemized list of everything you want to power. Start with the dehumidifier, but also include
lights, TV, the computer, a refrigerator, an air-conditioner. Add up the Watts per day you think you might need, and then plan from there.
Just keeping the lights and TV on, with a refrigerator running in the background, I'd suggest you'd need about 3kWh of power per day. Remember that the inverter being on consumes power even if nothing is turned on. Some of the cheaper AllinOne inverters (AiO) can consume more than 100W per hour, which works out to be >2.4kWh of power per day, just leaving the inverter on.
Here is a quick list of things to make a whole-cabin system that will power what I'm mentioning.
Four 6V golf-cart batteries, wired in series for 24V CostCo has a 210Ah battery for 110$ now.
Four 250W 30V residential panels. About 50$ each on Craigslist right now, more or less depending on your location. Don't buy online panels. Buy locally with cash and carry purchase.
40A MPPT charge controller. Epever makes a budget model called the Tracer 4210AN for 125$. For a bit more money, you could get the 5415AN, or Triron4215N, which have significantly higher voltage limits.
Sine-Wave inverter. Don't be tempted by cheap MSW models. They will shortly burn out anything running an electric motor. The Samlex PST2000 is UL listed. Cheaper inverters are not. I have a Conext SW4024. It can make both 120V and 240VAC.
The system I'm describing might be a bit large for only a dehumidifier, but is far more scaleable than a simple 12V system. Being a component system, it can grow by adding/replacing individual parts one by one.