Non-LCME/ACGME, non-US/Canadian (Caribbean Medical School) MS4 student trying for Electives

So I am from a caribbean medical school not accredited my the ACGME nor LCME and I wanted to apply for Electives. Most websites state that LCME accreditation is a prerequisite in order to apply. How do I proceed? Does it mean I won't be able to rotate at the prestigious Top 10 or Top 20 schools?

help