If we had a world of Private Property where communication is voluntary, then how would you first obtain property if you were an immigrant to the U.S, or started out with none? Where would you live?
If we had a world of private property, there would be no “U.S.” per se. National borders would be meaningless.
You’d get a job and save up till you could afford a place to live. Till then you would do what illegal immigrants do now. I suppose they come with a little bit and chip in with others for really cheap housing, or they stay with family or friends. Maybe they sleep in the park.
Buy or rent it. Same as now.
Why do you think it would be harder to find a place to live? Most residential property is private now and people manage to find places to live.
Every man is born owning himself and by extension his labor. He can use this property to trade for other property.