You will need to explain your circumstances to the ECFMG and to the US Embassy in your country in order to obtain another J visa. You are only subject to the two-year residency requirement with regard to getting an H visa, an L visa or a green card, not another J visa.
Mr. Shusterman is a former INS Trial Attorney (1976-82) with over 35 years of immigration experience. His response to your question is general in nature, as not all the facts are known to him. You should retain an attorney experienced in immigration law to review all the facts in your case in order to receive advice specific to your case. Mr. Shusterman's statement above does not create an attorney/client relationship.
Mr. Asatrian's practice is dedicated to the area of immigration and nationality law. Please note the information provided herein does not constitute legal advice and should not be construed as such by anyone. It should not be relied upon as legal advice as more specific facts, research and analysis may be required to formulate a proper strategy and action in your matter. Please note this does not create an attorney-client relationship whatsoever. You should seek the assistance of an experienced immigration attorney to review your matter thoroughly and gather all of the necessary information and documentation to provide you with the best possible legal solution.