Teleporting and dropping would do the trick.
Onto unbroken water surface the impact from a two mile drop would knock him unconscious. He'd sink due to the weight of his bones. Asphyxiation would kill Logan, he still needs to breath to survive.
Onto solid ground the impact would knock him unconscious, at which point NC could teleport him back into the air to do it again and again and again until he gets bored or overloads the healing factor whichever comes first.
He only needs slightest physical contact to teleport something with him. Logan is going down.