Unless you're married to a US citizen I wouldn't even bother trying. the amount of money you're likely to make probably won't cover the legal fees to get an H1b visa.
Plenty of low time pilots in the US. What's in demand are experienced pilots and even then most opportunities are at the regionals. There are lots of guys with 1000's of RJ PIC vying for jobs at major airlines. good companies like SWA only hire about 15-20% of people they interview.