Good questions. The infrastructure has more than just the personal value for the people using it, there's the expanded value for enterprises who need it as well to operate their business. Taking a page out of the bitcoin miners in Africa, private business could build the road to enhance their business, and since its built on the people's land, the people do not need to pay for it but help maintain it through those extra fees to use their car on it. The issue shouldn't be ownership, rather, how do so those who want to use it, help maintain it? The capital cost has already been addressed through the investment of the companies wanting to use it. Giving a road to the local people has traditionally been the way in the past in certain countries, like Canada: Some forest backrosds eventually become secondary roads and may eventually become a main road. This is a healthy practice where there's mutual benefits. Like in nature. We need to replicate better what nature does.
Now you have capital injection by those who will benefit first from it, then secondary users who will maintain it, and shared value long enough where the cost goes down as more use it.