Nice round of trading. 

I would suggest you build the Great Palace in one of the following:
Earth Horse Ranch: Hire 2 Engineers and it can build the Place in 5 turns. (Once Earth Hourse Ranch builds Dockyard it will have more base shields than Shanghai.)
Shanghai: It can build the Place in 5 turns:
Beijing: HIre 2 Engineers and build the Palace in 3 turns. (The extra 5 culture might help if we go for a 1 city culture win. though I think it is doubtful.)

We need the Great Palace so we can use spies to steal tech, for 10859 you might have been able to steal Absolutism and another tech.We can build the Great Palace but no city jumps out as great.

I would suggest you build the Great Palace in one of the following:
Earth Horse Ranch: Hire 2 Engineers and it can build the Place in 5 turns. (Once Earth Hourse Ranch builds Dockyard it will have more base shields than Shanghai.)
Shanghai: It can build the Place in 5 turns:
Beijing: HIre 2 Engineers and build the Palace in 3 turns. (The extra 5 culture might help if we go for a 1 city culture win. though I think it is doubtful.)