Popa's as long as you dont have a commercial licence your eligible to train under the J-1 visa at HAI. You can do both JAA and FAA commercial and CFI/II training under this visa, it also makes you eligible to work as a flight instructor for what ever time you have left on your visa which can give you quite a bit of experience in the log book.
HAI are a big noise in the helo industry, and their training standards have a world wide reputation. Do a search and see what you come up with!
At the end of the day, you want the best training your money can buy!
LB