If you have a 30 amp controller, then you are likely prepped for roof panels (wiring likely in a junction box on your roof). That and the fact you have an inverter already seems to indicate that. Make sure you have plenty of AMP Hours in your batteries and find out what kind of panels you want and you should be good to go boondocking for as long as your tanks hold out. If in doubt, call the manufacture of the trailer and ask exactly what the package you describe has with it.
Here's a video to get you started.
https://www.youtube.com/watch?v=blPafBzIqVs
3 parts should give you a bit more info than you have now. Google RV solar and watch as many videos as you can and you will get the questions you should be asking yourself about how you want to camp to find the answers you'll need to plan your solar setup.