[Boudica]

Get an education, or work VISA, then just follow the process outlined. It's going to take 5 years to get naturalized anyways. Might as well go legit.

MUCH easier said than done. You can't just "get a work visa". H1B visas are extremely difficult to get. You need to be what they call "an alien with extraordinary ability" or very specialised skills that American applicants for the same job don't have.

Education only allows you to enter the lottery program. Your chances of getting in on that should be indicated by they fact it's called "lottery".

Legit, the easiest way is to get married. Even then, you have to go through massive expense and prove it's not a sham marriage.