I was asked about this, and got ahold of them, and here's their response:
Yes, we do ship items to Belize.
We can ship books, music, videos, and DVDs to most destinations outside the United States. We can also ship some software, electronics, jewelry, kitchen and housewares, and hand tools.
For more information, see the International Shipping page:http://www.amazon.com/gp/help/customer/display.html?nodeId=596184&#restrict