About half that cost is domestic hot water. Solar hot water is a lot cheaper than PV solar. Add coils in or behind your wood burner with a decent sized solar storage tank and you will be nearly 100% solar on your hot water - trees are just big, cheap solar panels. You will have to install an active rather than passive solar system, with circulation pumps to the solar panels and the wood burner. The control systems are simple: when the solar panels are hotter than the tank, circulate to the solar panels. When the wood burner is hotter than the tank, circulate to the wood burner. When neither one is hotter, shut down and switch to gas fired hot water as a backup.
Be sure to install a tempering valve on the outflow from the solar tank, or you might burn yourself, or melt some plumbing fixtures. If you feed into a conventional water heater for backup,they have high temperature limits on water inflow, typically around 140 degrees. You may also need to install an extra radiator to cool the tank if it gets too hot. I can shut down the solar panels in the summer, but haven't figured out how to shut down the coils to the wood stove without boiling the heat exchange fluid, so I just switch that loop to an outside radiator. The cats love it! Standard water heater pressure-temperature relief valves don't seat right after they pop off, and will drip forever. Be sure to plumb it to an outside location that will accept some water.
I spent a few thousand on energy upgrades of this 1971 ranch style house, including new windows, new doors, and upgraded insulation. Wood heat with a heat pump backup, so we have central air conditioning all summer. Electricity is our only utility, and we heat/cool/pump water/light/cook for about $700 a year. That doesn't count wood, because I cut my own.