Why would anyone sudgest green oak for gates anyway? By definition they must remain acurately in line, squared up and a consistent gap where they meet etc. Green oak will change shape overnight. Its good for timber house frame's but those close tolerance issues arent so relevant. Its a well known and accepted fact that frames shrink and make cracking noises as they dry out. The word "green oak" has become like a fashion statement, as if its some hip new eco wonder material that will give you overnight environmentally sound cred. I'd stick with air dried. There a bloke on ebay as sells air dried oak near basinstoke. If the client wants some "green oak" on show perhaps sudgest some traditional English riven oak post and rail fencing to go along side the gates. The rails are made of coppiced oak, with mortices in the post's. On the ocasions I've driven around your parish, I couldnt help but notice lots of examples there must be some local makers