For devil's advocate's sake, how is this not state sponsored gentrification?
In your specific example, you shouldn't assume that the supposed change in the "highest and best use" will be enough to price you out if you're a typical homeowner (not a vulnerable renter in a sharply gentrifying area): the numbers don't really pencil out that way. High land values exist in some places, but they're quite rare and quite concentrated.
In a mathematically-perfect setup (100% LVT going entirely to UBI, with zero overhead and zero other government expenditures), the break-even point where your LVT exactly equals your UBI would mean that you own your exact equal share of that tax jurisdiction's total land value; if you own more, then you pay for it, and if you own less, then you get paid for it. Obviously in the real world some of that LVT revenue has to go toward paying people to collect taxes / distribute income checks (not to mention the many other functions of a typical government), but the point is that LVT+UBI produces a self-balancing system that maximizes fairness even for people using their land “non-productively”.