About 5-10 years ago, I used to see an ad on India Abroad newspaper about this Indian Employment Agency who were looking for all sort of positions, including Engineers. I never tried them but the ad would keep popping up.
I have no idea how the agency is or how helpful they are; but if you have no other option, you might want to give them a call since you asked:

ndia Employment Agency
(212) 564-0620
19 W 34TH St Ste 1221, New York, NY

Now I did a google on this and the reviews popping up for this company aren't too good. I am not even sure if they still exist:

http://newyork.citysearch.com/profile/7081298/new_york_ny/india_employment_agency.html