Without addressing the specific RV, I generally feel propane is the only reasonable option for powering a refrigerator while boondocking in a small to mid size motorhome. A typical 8 CU Ft 2 door propane refrigerator will consume about 1/4 gallon of propane per day in warm weather, so you can go about 3 months on a typical 25 - 30 gallon propane tank, not accounting for propane used for cooking, hot water, or furnace. Solar is great for powering the other stuff, I have 400 watts of solar panels on the roof of my 28 ft coach, and I think this is just about the minimum anyone should plan on, 400 watts may sound like a lot, but when you factor in less than optimal mounting angle, cloudy days, etc. the realistic output is much lower. With 400 watts of solar panels, I get enough power to run my interior LED lights in the evening, power my 28 inch flat panel tv for a couple of hours, run the vent fans as needed, and even provide power for my furnace blower on cold nights. Sometimes in the mornings I will still have enough power to heat up oatmeal or something else that only takes 1-2 minutes in the microwave using my inverter for power, though the issue there is battery bank size/age more than a solar limit.
If you plan to run a residential refrigerator even a high efficiency model you will likely need something over 1,000 watts of solar panels, and a 1,000 watts worth of panels tend to take up more space than is available on a typical 30 ft long coach once you allow for the space taken up by skylights, vents, air conditioner, etc.
p.s. it should be noted that the control electronics on a propane refrigerator draw 6 to 10 watts constantly while the refrigerator is in operation, to recoup that with solar you will need around a 60 to 80 watt solar panel once you consider mounting angle, charge losses, number of hours a day of sunlight, etc. A 10 watt draw for 24 hours is 240 watt hours per day, an 60 watt solar panel pointing straight up in mid North America latitudes in the middle of the summer on a typical day will generator about the equivalent of 6 hours of peak output, or 6x60 = 360 watt hours, which will be reduced to about 250 watt hours of power available once it gets into the battery, which is getting very close to our 240 Watt hour on the upper end of the range needed to run a refrigerator on propane. Better hope for no cloudy days if you only have a 60 watt panel and don't run anything else.
p.p.s. those things like blender and slow cooker draw on average less than you might think, sure it is a 700 watt draw on the slow cooker, worst case, but they typically cycle on and off, putting the average draw at a fraction of that 700 watts. As to the blender even drawing 1200 watts when running, it is unlikely you will run it for more than 6 minutes per day, which is only 120 watt hours, or about half the daily draw of the control circuit on a propane refrigerator.
