What is the best way to travel from Nanyang to Wudang?

You can take train from Nanyang to Wudangshan Station. Six ordinary trains are available from Nanyang to Wudang during 00:45 to 14:23. The journey takes about 4 hours. Ticket price for soft sleeper is CNY135.5, for hard sleeper is CNY89.5. The journey takes about 4 hours. After arrival, you can transfer a taxi to reach.
For tours, I know TravelChinaGuide provide such tours. You are suggested to contact traveltravelchinaguide.com for more info about the route as well as price.