How do you withdraw money from a Japanese bank while traveling abroad?

I've been living in Japan for a few months and I need to return to America for a bit. I get direct-deposit into my Japanese bank account and I won't receive my money until after I leave the country, but I can't figure out how to withdraw that money while in America. My bank doesn't issue checks, traveler's checks have to be prepaid, and my ATM card doesn't have a magnetic strip or a credit card logo (it just has a microchip). What can I do?