My wife and I moved our family from North to South (about 800 road miles) about 13 years ago. All of our family was still up north. At the time, we owned a Hybrid. We towed back and forth for about 2 years and decided we needed a Motorhome. At the time, our kids were young, 3 and 5. They handled the road trip just fine, but towing wasn't much fun. We were stopping more frequently when towing than not. We had to stop for fuel, food and potty breaks.
In 2009 we bought a 32' Class C with bunks. It had a queen bed in the rear, 2 bunks next to that, a larger than king size bed over the cab, plus the dinette and couch converted to a bed for lots of sleeping options. Traveling back to see family with the Motorhome was so much more enjoyable. We didn't have to stop anymore for potty breaks. We didn't have to stop for food either if we brought food along. My wife could make meals while I drove. If we ended up stopping for the night, it was usually a short 4 to 6 hour stop to get some rest. We'd stop at a Wal-mart and get some sleep. We were completely self contained.
If we were to do it again, the only option for us would be Option #3. My wife has floated the idea of buying a house up north as we spend almost 6 months of the year up north, with the thought of AirBnBing the rest of the year. Problem is, there isn't much demand for short term rentals where our family is. Several times we have wanted to just do the AirBnB for ourselves and couldn't find anything rentalable near by. You need to make sure there is a demand for short term rentals in the area you plan to buy. Also make sure the city/town it would be in will allow it, not all do.
-Michael