What are my chances of getting in with a unique story to top schools?

Econ is a bread-and-butter major. Unless you think you might want to go the academic/research route in Econ (ie, a PhD), most places will have plenty strong Econ majors. If you are seriously thinking about a law career, where you go for undergrad is relatively unimportant- for US law schools, your GPA, LSAT and what you have done during college and post-college matters more than the brand name.

If your plan is to only go to the US if you can get a fancier name than one of the Canadian colleges fair enough, but I don’t see why this particular group of colleges is interesting to you. If Law School is seriously in the picture, will your parents pay for it as well?

Finally, as everybody else has said, your story (as posted) isn’t in the ballpark of unique. All but one of the Collegekids had some version of changing schools at secondary level, some by choice, others by moves. Didn’t make a speck of difference in college admissions.