I'll give you the cheapest way you can go on what you can start with at this time, so here it goes. Go to Wal-Mart and purchase a 750 watt invector inverter, about 69.00 US dollars. Purchase four of their yellow Maxx deep cycle batteries, they are about 69.00 US dollars. You can buy a charge controller from Harbor Freights that can handle what you have for about less that 100.00 US dollars. If you want, you can purchase their outfit for solar for about 200.00 or more.
Most of the charging you can do is with the alternator from your RV and rest from the good old sun. Just make sure the alternator can be upgraded to handle the charging too. That should get you going on the right track for now and later you can always upgrade, plus you'll gain some personal experience by then. The wiring shouldn't be that difficult. And the kind of solar panels to use, is all up to you. My calculations are very close to what you would want and the only appliance that would be drawing power is the fridge. But you should be alright. You don't need to be running a 60 amp charge controller, so anything less should be cheaper, maybe something less than 30 amps should do you well, just in case you need to upgrade later. Since, everything is run by 12 volts, you shouldn't have any problems within the RV.In case you need to modify wirings,batterties,panels, etc. Happy solaring!