working in CT

Hi, i am a RN working in india, i passed cgfns and ielts and planning to write enclex-rn. I need information , of any hospitals in connecticut who will sponsor me and my family for green card.
Overhere there are many agents who want me to sign up with them, and then they will help me with sponsorship and greencard, but once i reach there , they will cut money from my salary for 2 years.
I dont want that to happen, so was wondering if there is any hospital who will directly employ me and sponsor me.
siljo