But that regional authority would have to be a legal person, too, in order to do anything via the legal system. This doesn't avoid the problem of personhood at all, so much as it changes who/what the nonnatural person actually is. Like, say we did it your way. We make a regional authority that's only raison d'etre is looking after the ecological interests of the lake. That's going to be either some NGO or non-profit or government agency, all of which are considered persons under the law.
Nonnatural persons aren't granted rights under the law because they're made up of people though. In America they're granted those rights because it makes dealing with them much easier. That's it. That's why it's so confusing which rights are reserved only for natural persons and which apply to all persons.