Need-blind for internationals is clearly better than not being need-blind. But don’t assume that the other schools are strictly full-pay.
As I’ve heard it described, albeit for domestic students, a lot of schools try to act need-blind for most of their admissions process. Then they’ll realize that they are running out of aid money and become “aware” for the tail end of accepted candidates. A school that only accepts 5% of its class in a need aware fashion is different than one that accepts 50%.
Of course, this means that you should position yourself as highly desirable rather than a marginal applicant, to avoid being in that tail.
You can look at the Common Data Set for each school to see how much money they actually pass out to internationals. In my experience, that varies quite a bit. This may give you a better feel for the reality you are facing.