State Farm says they'll cover me for recreational flying. The question of registration never came up but I assume they would require it.
I also make sure I coordinate with the local airport (2.5 miles away) and I have written permission to overfly any adjacent properties. Whether I actually overfly them or not. Takes a little foot work at first but people are much more appreciative and willing to help when you do this. Except maybe in California....
But also make sure the type of flying fits the local environment. You're typically not going to fly a 200 mph jet at the edge of a subdivision. And if you're stupid enough to do so, I hope they lock you up!