Solar power on a 46.6 convertable

How do you expect solar to work at night.

I would start by simply building a battery bank that would run the inverter large enough to handle those items. Lithium batteries are quite small for the amount of AH they hold. It could then be charged during the day by the engines, or generator or a battery charger while on shore power.

No need for a power selector switch. Charger/Inverters are usually in line now days. This way the fridge keeps running automatically if you loose dock power.
Just maybe a by-pass switch if your concerned with inverter failure/service.

During daily operation, you will get higher re-charge rates from a gen-set or engine alternator than a solar panel.

For extended anchoring out with out a fridge (or other heavy loads) running, solar charging is great for bilge pumps and alarms.

One approach might be to add the battery bank and inverter system first... then use it... evaluate... decide whether adding solar to that would be worth the effort.

Saying "lithium" as a general class is slightly different from saying LiFePO4 (aka LFP). Latter are inside the whole lithium class, but a different lithium chemistry from the small batteries in laptops or hand tools or whatever... and reading suggests there are no known fire events caused by LFPs. None. Zip. Nada.

-Chris

Don't know if you follow this guy but in the link I'll post he installed what appeared to me a great battery set up despite having 2 generators.

Just had a new generator installed on mine; but I never do overnight anchor outs.