Lots of huts probably have an ac or heater. This could all be the same device, at which point it’d definitely be easier than running the pipes for water and maintaining pumps and a dedicated tank.
Don’t see a reason you couldn’t have a simple ac window unit that also has a warm water port, which you plug a single cable into going straight to your pannels on the roof.

Edit: And once batteries are more affordable (or if you have a few grand to burn) you can then plug in a battery pack conveniently on the indoors side of your window unit.
The indoors side can just have a few regular outlets you can extension cord around to where you need them.