Hi,
I know what you mean about the lack of response from certain schools. In my experience, however, other profs at some schools have been very helpful. I'd suggest studying to retake the GREs (although they honestly don't seem to matter that much...just try to improve your score), as well as applying to a Master's program first. (This just from personal experience: I myself applied for several PhD programs before realizing that my application was not competitive. I'm more optimistic about my master's applications.) Also, your professors at your alma mater (probably those from whom you're getting your LORs) would be able to suggest people in your field at other universities to work with. Ask them how to better approach professors -- maybe they know something about a certain professor or department. And don't be afraid to apply without talking to the prof in person. Just mention their name somewhere in your application, stating why you're interested in their work and in working with them.
Finally, I think that your application has potential strengths: your interdisciplinary approach, for one, as well as your language proficiencies. So don't be discouraged!