In January 2008 we shipped our DL650 by air from Chennai to Bangkok by Malaysia Airlines (MASKargo), it went via Kuala Lumpur, and the total cost was about 600 euros. The Indian end was a bit of a pain with the
paperwork, crating, etc., but in Thailand it was a breeze. Our shipping agent was Shell Air (shellairmaa at gmail dot com), and they seemed quite efficient.
Should be possible to ship by sea from Chennai, too. Sending your sidecar might cost considerably more than a solo bike. I was told to avoid Bangkok seaport, rather send to Pt.Klang.
BTW, I´d love to know, what is the proper paperwork to go to Myanmar?