Very nice Max. In Zimbabwe we get power cuts (for load shedding) for 4-5 hours aa day. When we were back there recently we had one for 14 hours. But 10 days is a loooong time.
We don't have piped gas in Zimbabwe so most people have a petrol (gasoline) or diesel generator. Were I to go back there to live I would get a diesel one with electric start. 20 KW is a lot of power though I guess you would need it with air conditioning. Air conditioners are rare (and not often needed) in Zim. and most people have a small gas (propane) type 2-plate cooker and cylinder for cooking when the power is off. So you can get by with 2-5 KW.
I'd also get solar panels and some batteries and an inverter. If you only want some lights and a TV and fridge you could get by with a 1KW inverter, and you wouldn't have the cost of the diesel or the noise (or the fumes, which get a bit oppressive when everyone has their genny running).
Would it be rude of me to ask how much your generator cost?