I don't know if they are still doing this, but an outfit called "American Air Network" in St. Louis (PM me for more info if you like) would arrange visas and place overseas pilots such as yourself in various Biz jets around the country. The way it works is that you pay for a block of time in the aircraft and you are basically doing an internship to gain your experince. You will pay a fair amount up front, but it is a good shortcut for someone with low hours to get in the door. A few years back, about 3 of my FO's came from this outfit and i've stayed in touch with 2 of them; one is a captain on a Westwind now and the other is right seat on a GV, so I guess it can work.