You need to use a print broker, who will have a relationship with all the various Far East print and repro houses and sort this out for you.
China and HK are good, as are many other places.
For some reason nobody can explain, USA is very expensive to print in.
Most USA publishers print abroad, yes in the East, but high end photo books are often made in Italy and/or Germany even.
The Europeans often have the very latest and best Heidelberg machines - UV printing, high pigment, etc - but come in with prices 30-40% below USA.
Check out books you like by publishers and you'll see in there where they are printed - like Aperture's books made at EBS in Verona, or Optimal in Germany, amongst others.
good luck