We have a 2010 interstate. It has the relatively small refrigerator. We don't use the inverter much, just watch TV once in a while. Run the refrigerator on 12V
We have dry camped for several days and not had much of a problem recharging the batteries. We have 2 - 6V, flooded, golf cart batteries in series. I think the total capacity is 225 Ah (or so).
Our dry camping runs the gamut from overnight stops in a Cracker Barrel or similar, campgrounds with no hookups, driveway of friends & family, boondocking (remote sites), etc.
We don't have solar.
The key for us is turning on the generator for 30 minutes in the morning and again for 30 minutes in the evening. That, combined with our sightseeing during the day - charging from the alternator - keeps our batteries in reasonable condition. Every 3rd or 4th day we'll stop somewhere with amenities to fill up with water, dump the tanks and charge the batteries with shore power.
We have considered solar but seem to be getting by for now. We may be unique, or at least different than many on this forum, in that we almost always drive somewhere each day. We are very seldom in the same place for more than a two nights in a row.