To original poster. I have a 3 ton inverter heat pump that varies from30% to 130 % of 3 ton rating its a nordyne unit renamed for maytag taipan and Fridgidair among others mine is 21 or 22 seer and max draw is 11.9 amps and it ramps up slowly never going over this 11.9 amps. It also has dual fuel with gas backup. I also have a climate master tranquility geothermal open loop system that is 2 stage with a scroll compressor and soft start grundfus well pump. The 2 stage units typically ron at about 60% of rated tonnage or full rated tonnage and start with stage1 then later progress to stage 2 if needed. I have no trouble starting the inverter unit with a 5,000 watt inverter. I am currently looking at 13,000 watt inverter and using a sure-start soft starter which should reduce the LRA of 150 on my 5 ton unit to about 44 amps or less.
Other suggestions for saving power and loads are a heat pump type dryer that generally uses about 450 watts and not all even require a vent. Also a heat pump or direct PV water heater or preheater. I use a PV heater with pre heater and tankless gas unit if needed. I am not familiar with the marathon if it is heat pump type. Remember many inverters will produce about double their continuous rating for 5 to 20 seconds which may aid in starting the heat pump. Low frequency transformer units generally do this better than high frequency transformer or transformer less units. The sure=start decreases LRA by up to 70 %. You are smart to have a woodturning stove. In winter without grid sell you would have to have about double the PV panels and triple the batteries to be totally off grid even with efficient heat pump in cooler climates. You are often warming air 40 degrees or more in heating mode but cooling 20 degrees or more in summer so you need twice the energy to heat but only have about half the sun power available.