As far as I know, in western coast, Arizona State does, Southern California does not.
I checked my record and would like to expand the list with some more schools that offer scholarships: Ohio State, Wisconsin Madison, Tulane, Baylor, RPI, UM-Amherst, George-Washington, Connecticut, Georgia.
There must be some others, but I am sorry I don’t know for sure. At least, these programs are not worthless, right?
I can understand your feelings, as I experienced similar situation two years ago. It's natural for people to pursue something better after achieving what they have been longing for.
But I do not think odds are in favor of you to be admitted in the last round. The competition for top 10 is really intense, a totally different story than non-top10 schools providing full scholarship. However, if you really do not want to regret in the future, you should give it a try this year or even next year (if unfortunately). Those schools providing scholarship are very likely to give you scholarship again next year.
In my case, I tried to apply for top ten during my first-year MBA in a second-tier program and was told by many of them that they do not consider students in other MBA programs. I ended up with being admitted by a top 10 but not magic 7. Considering ROI and other factors, I did not attend at last, but at least I will not regret in my future because I have tried.