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.