I came to the US with 5000+ hours and airline experience. We worked with lawyers to try for an H-1 visa (a company was willing to employ me - this was pre-9/11) and were turned down flat, no argument, no H1 visa, not no way, no how. You have to be able to prove that no one else in the US could do that particular job. As I'm sure you are aware, there's plenty of folk who can do the flying jobs, and plenty of folk applying for them.
I ended up getting a green card through marriage (to the guy I came here with), and am now working again.
Find a good lawyer. Look into whether you are eligible to apply for the green card lottery - you can do that yourself, google it. Be prepared to fork out yet more money. If a 135 operator employs you illegally, with respect to immigration laws, don't bet on any benefits or being covered by any sort of insurance. The insurance companies will be more than happy to wash their hands of you if anything goes wrong and they find out the paperwork isn't legal.
As with the flight training, don't fork out any money to immigration companies that make unrealistic sounding promises - there's plenty of them out there just waiting to catch the eager innocents.
Sorry to be so pessimistic. Or is that realistic? Good luck with reaching your goal.