I should have mentioned the more advanced off-grid inverters do have the capability of using multiple generation sources including, solar, wind, hydro, etc to charge a battery. However, your economical Sungrow hyrbid inverter does not have the capability to control multiple DC-coupled energy sources.
The more advanced off-grid systems are much more expensive but they are very flexible and modular making adding more solar or wind possible.
I can understand why you do not want to use electricity made from coal so another option is to use an electricity retailer like Momentum or Powershop who source their energy from renewable sources and support renewable projects.