I haven't given a lot of thought to basic income, but coming from a third-world country, I immediately think of how that can lead to corruption, nepotism, and unfairness in general. (e.g. who gets higher-valued real estate?)
Private land would remain private.
Of course, then you have "slums," essentially, and problems that come with that.
I do believe, however, that UBI really needs single-payer healthcare for it all to work. If they supply enough UBI for health insurance, the costs are going to be astronomical, or they'll have to tax the working people to death (which will make lots of them just quit and live off the UBI, which will break down the system). Something has to be done to rein in medical costs like they do in European nations for this to work if it's going to include medical care, and really, medical insurance should mostly be eliminated.