You can still go on exchange to Japan on a very low rate. How is that? Well, being sponsored by your local Rotary Club. But hurry up, they are sometimes very picky on student selections. Contact them, ask around and you'll find them in your local community. The only thing you pay is your airfare and some rotary fees for the exchange. They pay for everything. The only downside, is that you have to choose around 5 countries you would like to exchange to and you might not get your first choice, however, most pople get their first countries.
I am going on exchange to Japan, just like you, in 4 weeks. I would have signed up with rotary, but I signed in too late and had to go with AFS and pay a more than with Rotary, but ultimately, I know I am in hands of a very experienced organization.
Mauricio