Well, you should realize that you must be fluent in Mandarin Chinese (for the Mainland Chinese rotations) or Cantonese (for the Hong Kong rotations) to qualify for these types of programs. I was once interested in doing an elective in Taiwan (where you'd need to know at least Mandarin), but shyed away from it because it was really difficult to set up, would take away elective time for residency applications, and would be pretty darn expensive.
I found a lot of contact information on the AMSA website.
I should warn you that the medicine practiced in China (Mainland) is pretty out-dated, and is not up to American standards. Several articles in the New York Times about a year ago pointed to the astonishing lack of basic science knowledge on the part of Chinese-trained physicians & surgeons. The same series of articles also pointed to a growing AIDS problem in China secondary to a lack of education on HIV transmission within the general population as well as with all Chinese-trained physicians. Furthermore Chinese hospitals, especially those in the interior portions of the Mainland, routinely re-use needles (after ineffective "sterilization") and purchase discarded needles from locals who sell it for cash.
Medicine in Hong Kong and Taiwan is better, so I'd look to there if you plan on learning anything at all.