Insulation
Without
insulation you will be fighting a losing battle. You can think of this as part of your battery.
Heat Pump
You might be able to use a heat pump to get a 3x multiplier for the solar electric that is being used
Radiant Heating
You could run
pex water pipe/tubing in the floor
Or you can run
electric wire in the floor that operated like a heating with a simple controller
Battery Bank
You can have a tank with
hot water that is storing solar thermal energy
You could also store the heat in the floor too or some type of mass
You can also capture solar electric in a regular battery and then create heat at night.
Solar Gain
You can power your system by solar electric or solar thermal panels. The panels cost about the same per watt to buy, but solar electric take up more space, and most important you can also DIY solar thermal pretty cheap if you dont want to buy a system.
Iterations are fine, we don't have to be perfect
My 2nd Location:Florida HardinessZone:10 AHS:10 GDD:8500 Rainfall:2in/mth winter, 8in/mth summer, Soil:Sand pH8 Flat