Huaihua to Dehang

Hi,

I'll be arriving at Huaihua Railway Station at 4 a.m. (on my way to Dehang) and since the first train doesn't leave for Jishou until 7 a.m. I would prefer to get a taxi to drive 2 hours straight to Dehang. The big advantage of this is that I could sleep in the taxi instead of sitting around waiting for 3 hours in the early morning. Would it be possible to find a taxi driver to agree to this and how much would it cost roughly? I'll be travelling in January :)

Really appreciate any input to this question!
Sofia