Many, many people on this site do just what you are talking about, including me. The only issue you might run into is if you want to run high draw devices from the batteries, such as the air conditioner. Also, depending on where you live you may not get as much sun as people who live in say, in Arizona. Most of us do have some type of generator that we bring along as backup...just in case. We have a Yamaha 2000Watt generator, which will NOT run the air conditioner, it will run the microwave and anything else though, if we end up with several days of rain or something.
Check out this link, to give you an idea what it is all about.