It looks as though B'ham has missed out at the moment as Manchester is scheduled to get direct flights to Beijing next year. This was announced last week
"During a speech at a conference about UK-China links, Chancellor George Osborne said Hainan Airlines had been authorised by the Department for Transport to run a direct flight between Beijing and Manchester."
A new UK/China bi-lateral has been agreed with an increase in frequencies and also flights to Chinese cities other the four currently served from the UK - Beijing, Shanghai, Guangzhou & Chengdu