One assumes that the people I'm renting the lots to are permitted to use the road as part of their contract. But let's make this simple and say that I offer a perpetual agreement to let anyone use this road at cost, whether they rent from me or not. The road is a loss-leader; I intend to make my money by renting out the land, not by operating a toll road.

There are plenty of examples of communities with their own private roads and other services. Not everything of value to a community is provided by the government.

> you can get your reward by selling the plot

That won't work. Whoever buys it would be taking over the LVT payments, so that expense will come out of the resale value of the property.

> Under LVT what you can't do is just sit on it for years at no cost to yourself, but great costs to others just in case it turns out to be a lottery ticket.

And here we once again have someone failing to see the economic value of speculation.

The only reason to "sit on" the land and not use it would be that any use you could put the land to now would interfere with taking advantage of an even more valuable opportunity which you anticipate in the future. Not holding the land in readiness for that more valuable future use under such circumstances would be destructive.