Here is a little update. We made our way to KL and have decided to try to fly the bike from here. Initial estimates are not good so I doubt we will be flying our bike anywhere from here.
We first contacted Maskargo (the cargo division of Malaysian Airlines) and received an initial quote of 39 ringgit per KG to fly from KL to Buenos Aires. The airline flies this route twice per week, their only flight to South-America from what I could gather. Our bike with crate weights 370 kg so this works out to about 4400 USD  and would exclude any fees in BA.
Then we contacted a shipping agent to see the difference in price. He quoted us approx. 4800 USD   .
Looks like our bike will be sailing once again unless Trans Air Cargo in Bangkok can do better. Will try contacting Kittima once again tomorrow and post results here.
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