Aren't we getting pretty close to Will's solar shed here? That might be a good template for what works.
I think Will's solar shed is one of the reference points that piques people's interest. I have watched his videos on the Air Conditioner portion, but have not researched all of the details. The climate is definitely extreme enough! For it to be a good parallel to a vehicle mounted system, the total panel area would need to be less than about 75% of the area you were trying to cool. There would need to be a fair number of windows on the shed and at least in my case, you'd need to avoid hanging blankets and such as part of the decor
I keep reminding myself that even though my RV is well insulated (for an RV) with double pane windows etc., On hot days, the existing power hungry roof AC still struggles to keep up until after the sun goes down. I can't imagine being able to attach enough solar generation and/or batteries to my RV to power that unit around the clock, and I have a bit of a hard time believing that a small mini-split, with less cooling capacity than the roof AC has, is going to magically be able to keep up with the cooling load either. Maybe mobile systems in hot climates are still out of reach, but we're getting closer....