Solar power on a 46.6 convertable

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.

I have enjoyed my TelCom batteries for a many years now.
AGM technology and bomb proof.

Note the different foot print.

We run a Magnum 4024PAE. It provides 115/230Vac.
The inverter will alarm at a conservative battery state of charge and auto start our small gen-set, recharge the 24Vdc battery bank and then shut down again.
I have clamped on a second alternator to the port main engine.
While underway inverter runs everything (no gen-set).
Full sized refrigerator
Chest freezer.
Ice maker.
Keurig coffee maker.
Micro-wave oven.
Bunch of lights.
Bunch of big TVs.
A few desktop computer systems.
Air filter and fans.
I have been planing for years but never wired the stateroom A/C to it.

Using very conservative numbers, lets look at it this way;
Poorly guessing, I would say in 5 years there is between 1500 to 2000 hours on this inverter.

On a good day, down hill, with the wind & light loads, the lil gen-set (9kw) will consume over 0.5GPH.
Off the truck, Diesel can sell for $3.00 a gallon.
So; I do NOT consume $150.00 of fuel every 100 hours.
So; I do NOT consume $1500.00 of fuel every 1000 hours.

Slowly the inverter is paying for itself.
AND, that is hours not on the gen-set (Wear & tear).

When we purchased this boat 22 years ago, it had no gen-sets.
To keep the beer cold while underway, we were using an inverter.
I recall, our first investment in the new to us boat.

As you may be able to tell, I like inverters.
I also like correctly and safely installed inverters.

I have witnessed enough new hair styles to onboard fires from Buba installing a battery charger or inverter.
For the DIY guy, please read all well and be careful.
When in doubt, involve a REAL marine electrician.