Is $6,000 to run a new 240V line for pool heat pump a fair price?

I am trying to heat my ~17,400-gallon pool in the Bay Area, California. My goal is to raise the temperature 10–15°F in spring and then maintain it daily in October or longer. October temperatures range from 52°F-72°F. I was quoted $6,000 to run a new 240V line, which includes trenching, construction, and permitting, but I want to avoid these electrician costs. My plan is to use a battery and solar panel setup, with the option to charge via an extension cord if needed. I am considering either a 120V plug-in heat pump (like the SwimSmart 40K BTU, with batteries such as Jackery 2000 Plus or Bluetti AC200MAX, which would provide slower heating of ~2–3°F/day) or a 240V heat pump (like Hayward HeatPro or Raypak Crosswind, with batteries such as Jackery 5000 Plus or EcoFlow Delta Pro x2 + Hub, which would provide faster heating of ~6–8°F/hr but has a more complex connection). I have questions about whether heat pumps always draw max power, what adapters/outlets are used, potential runtime or startup surge issues, and if a 120V setup would be sufficient.