Our daughter will be traveling to Japan in December. Is there a reputable travel insurance for someone without insurance?
There are several options out there. Some universities purchase or recommend MedEx for their students and faculty on travel-abroad programs. It is supposed to offer more complete coverage, and maybe higher cost, than some of the others. So you still need to shop around. The Medex link is http://www.medexassist.com/
I use www.imglobal.com when I go to the EU; they are pretty reasonable, and, fortunately, I never had to use them.
You can compare lots of different policies at www.insuremytrip.com.