Having read you more detailed requirements, I believe there is some realistic possibility of achieving what you're thinking of:-
If you are just running low wattage (preferably LED) lights, water pump, and occasional TV, then previously we have worked out that a good 50W solar panel coupled to fairly standard caravan 110Ah battery should be able to sustain the caravan quite well over several days, so a 250W panel should ace that part of the job. I can't stress how much you need to use a charge controller for the panel to protect the battery from overcharging.
The fridge poses a different set of issues. As has already been suggested you have the option of running it on gas. Don't under estimate this as it can be very effective and cost efficient, but you could also consider the 230Vac option:
Most caravan fridges are rated at about 125W of ac power. However and becasue the 230V element is thermostatically controlled, that means it will not be using that power 100% of the time if it were using power all the time that would be 3.0kWh. Fortunately Dometic have done some power testing and suggest the Energy consumption (230Vac) of typical touring caravan fridges is in the region of 2.0-2.2 kWh/24h. It's important to understand that the element has to work harder, when the ambient temperature is high, when the door is opened and how much heat items have that are put into the fridge, so the bulk of the power is required during daylight hours - when the 250W solar panel will be working and will take most if not all of the of the fridges electrical load. Its only at night when the ambient temperature are lower and the fridge will be opened less and kept shut for longer when the battery may be required to power it. Its only a rough estimate but the average power consumption during night time may be down to 50% or 60W/h
With such reduced night time power demand, coupled with a large solar panel it might be feasible to run the fridge on your rechargeable system.
If your only 230V requirement is the fridge, then as the fridge element is a resistive component, then you could use a 150W modified sine wave output inverter, which are cheaper, and more efficient than pure sine wave converters, BUT, if there is any possibility that the 230V power may be used for other items, then the pure sine wave output inverters are a must.