What’s this “transportation right” you speak of? The right to roam isn’t guaranteed by the constitution, but protection against unlawful seizure of private property is. We should be careful to not conflate the rights actually guaranteed to us by the law of the land with things that various individuals feel are “nice to have”. And certainly not deprioritize the former in favor of the latter.
unlawful seizure -- there sure is a law about it, called eminent domain
That requires “just compensation”, as per the text of the very amendment I cited. Texan voters are unwilling to provide the compensation. Therefore the project does not go forward. It’s really a very simple concept.