I meant longer term visas rather than semipermanent visas. You could pay a few thousand a year for an online college to stay in the US wherever you want. I'm not sure why anyone would want to do that, but it's probably easier to work under the table this way when you don't have to worry about being deported.

Sure there is or at least significantly easier than without going to a US school. There's a reason all these international students are going to US schools.

Go to a US school. Get OPT visa status upon graduation for 3 years. Get a job at a US company using OPT status for your work authorization. Have US company file for a H1B lottery every year until OPT runs out. This whole time you're legally allowed to work in the US.