I think Thai Gov. has already tried to support Thai export by organise the exhibitions abroad for Thai Traders. I have heart that Thai Gov. contributes 50% of the cost and traders pay 50%. However, even traders receive 50% contribution but the budget to do an exhibition abroad is around 1 million bath anyway.
If you have small budget but enough to do searching on the Internet for certain type of products such toys, craft, furniture etc. form search engine likes yahoo, google and specific country destinations. I think you would be able to find out what products are most demanded and what products that you can supply. After that, just simply send them an introduce e-mail with product images. Let say, you can use internet connection as the telesales but much cheaper.
There are so many companies who would prefer to trade directly from suppliers rather than through the agents in Thailand