Sorry Hutch...
To the subject... The size of a battery does have to be factored in, but it does not determine the capacity of solar panel needed. Obviously the battery needs to be big enough to supply the caravan when there is no charging or spare solar power available.
Basically you need enough solar panel capacity to supply the average power demands of the caravan. It needs a battery with sufficient capacity to supply the caravan during the time the panels cannot supply the instantaneous demand, or when there is not enough light to provide current for appliances or to replenish the battery charge. In essence to carry the load and smooth the supply.
You need to total up your entire days electrical demand, and for convenience its easiest to work in Ah.
Assuming its a modern caravan with high efficiency appliances, and sensible usage:
So for example: assuming caravanning at the March solstice, (equal day and night) careful usage might see:
Modern LED lights may use 100mA per luminair 6hours x 4 lights = 2.4Ah
Water pump 7A for 15Min (0.25H) per day = 1.75Ah
Fridge control circuit (pure guesstimate) 25mA 24hours a day = 0.6Ah
Water heater control 15mA 6hours = 0.1Ah
Space heater control 50mA 12hours =0.6Ah
Heat circulation (fan or Pump) 1A 12hours =12Ah
Cooker hood 1A for 1 hour = 1Ah
Phone charger 0.4A 3hours = 1.2Ah
TV 2A for 3 hours = 6Ah
That gives a total Ah usage of about 25Ah
So a battery (with no charger available) would need a capacity of 25Ah for one days usage.
Conversely if a charger were available and assuming the battery was 100% efficient you would only need a constant charge current of 1.05 A to keep the battery able to meet the needs of the caravan indefinitely.
A larger capacity battery would make no practical difference, except with its better peak current delivery for motor movers.
Unfortunately batteries are nearer 70 to 80% efficient so you’d need a constant charger of nearer 1.5A.
Off grid, means no mains power, and the OP is looking for solar power which would only be available in meaningful quantities for roughly 60% of the daylight hours. Therefore at the solstice that would be 7.2Hours
So during that period the panels would need to produce an average charging current of 3.5A
Panels are rated in Watts and that at 12V would be 42W.
Allowing for other problems such as clouds, and other restrictions to the light available, perhaps a 100 or 150W panel would give peace of mind. A charge controller would be a very useful thing as it should maximise the efficiency of the panels, and prevent overcharging of the battery.
With such capacity, some of the daytime load would be carried directly by the panels, and that means the battery would only have to supply the night time load. You could conceivably get away with a 10Ah battery!
So battery capacity does not dictate the size of panels.
By careful choices of what appliances you use and for how long you use them for can make quite a difference to the total power usage. Often the big current hungry devices (e.g. Movers and Pumps) are only run for relatively short periods and in fact consume relatively small amounts of power over a day, The big power users are the items that are used for long times, for example lights and tVs and chargers, that use bigger chunks of battery capacity over a day.