I`ve not yet heard of any specific state disallowing diving entirely (tourism issues).
BUT, Missouri does not allow diving in any spring-fed branch of it`s rivers. Those spring-fed branches are protect ecosystems and may only be dove with special permits and for proveable educational purposes.
So I`ll clarify what a spring-fed branch truly is. According to statute the "spring-fed branch" is the branch that runs directly from any spring. It does not include any river or other water pathway to which that specific branch empties into. Make sense?
Water source lakes are also locations where diving is not allowed. We have one around Springfield that does not allow diving, but it allows fishing and the use of boats/pwc (must be the diver`s peeing thing??).