My info is from almost 3 years back, but Thailand should allow you to temporarily import your vehicle for about a month (no carnet required / used).
I was warned not to ship by sea to Bangkok, but clearing at the airport was easy. Also you should be able to cross into Cambodia, Laos (and Malaysia, which is a carnet country, but seemed quite relaxed about any bike papers - but I dont know, if it will always be the same). Many people also report having shipped to Kuala Lumpur by sea or by air.
Burma is almost impossible, and Vietnam seems very tough to get your vehicle into - but lately it seems like you can do it in a similar way as China, so very expensive and needs to be arranged long in advance.
Indonesia requires the carnet, and we got in without problems at Belawan (Medan)... but later on I heard of many travellers having serious trouble with the Indonesian customs. May be the port of entry has to be chosen carefully.
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