I note that you only selected one theory of natural rights - that of Paine.
If a natural right is "universal and inalienable" then you cannot forfeit that right by infringing on the right of others for that which is inalienable cannot be alienated from the holder, nor can it be voluntarily forfeited.
The problem I have with your definition of property rights as a "natural right" is that property rights are highly dependent on culture and society and cannot be said to be universal. Many cultures viewed the ownership of land by individuals as impossible - land belonged to a group or collective, many First Nations in North America worked on this principle, the Highland clans of Scotland (up until the 17th century), etc. If your rights are "natural" then one would expect that they would be interpreted the same way by various cultures and they aren't.
Rights are viewed in different ways by different cultures - Paine's understanding of what a right was, was influenced by the traditional "rights of Englishmen" first laid out in the Magna Carta - then expanded and defined by other acts of Parliament and the King.
As a philosophical construct "natural rights and legal rights" can be separated and looked at as different classes - the reality that we as people who live in the real world deal with is that such a differentiation is pointless. When rights collide it is the legal system of that area that gets to sort the problem out - not nature.