I have seen one that can drop ship, it is based in Malaysia and has a $99 mini laptop - Link hidden: Login to view
..is a one stop cheap electronics store. They accept credit cards, PayPal, and bank transfers. Drop shipping is available at no extra cost. They can ship worldwide.
There are several laptop suppliers listed in the directory but they all supply wholesale. You may try to ask in they can drop ship upon request. Let me know and I'll give you a list. :)