Am I covered by G.H.I. Blue Cross/Blue Shield if I move to Italy under an elective residency visa?
You would have to check with your provider to make sure that your plan has full coverage for you abroad. Insurers do offer plans for expats, and, if yours does not, you can try searching on 'global health insurance' for other that do. As examples:
Also returned in the Google search is this article on researching international health insurance companies.
BCBS plans may provide some emergency coverage if you get injured or sick. I agree - you should check with your plan provider. A travel insurance plan is a better option for short term travel (less than one year). Expat plans, or International Health Insurance, are more comprehensive plans and make sense for people living abroad - like expats.