I agree with Chris and Heike, SE Asia will be great at that time, get a flight to BKK and perhaps a bus to somewhere out of the city to rent, others might suggest where the best deals are if it makes a difference.
You cannot take a foreign registered bike into Vietnam but it is easy to rent one there. I know it is easy to take bikes between Thailand, Laos and Cambodia but am not sure about rented bikes but again loads of bikes to rent in each country so rent in each one and take a bus to the next.
Do take all of your own riding gear particularly your helmet, what is there is crap, a summer riding jacket and gloves will be all you need.
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