Earlier submission, better chance.

You can try to send your resume (publications, citations, Reviewers, Memberships, and Awards if any) to attorney offices and see what's their response. Find any evidence you have.

If you are working in a university or a R&D in a company as a permanant job employee (only in paper demonstration), EB1B is not a bad choice. Everything can be possible. Don't panic yourself. You may not believe you are outstanding but your attorney will do whatever he can to convince USCIS officials that you are absolutely outstanding in your research field.
EB1B is faster than other ways. As I know a few friends post here to say they got GC in one year.

Good luck!