That’s an interesting idea, but I have never heard of it happening in practice. First you’d need to find a job where the employer can document that they are unable to find an American to fill the position. (That is not a requirement for most H-1B visas, but it is a requirement for the EB-3 unskilled category.) The job itself needs to be full-time, permanent and non-seasonal. (This excludes the typical labor shortage industries like agriculture and tourism.) The employer has to be willing to spend several thousand $$ on your visa application and wait for 6 months - 10 years (depending on your nationality) for your visa application to be processed, all with an uncertain outcome.
I honestly can’t think of too many scenarios in which this procedure would make sense from the perspective of an employer.
It comes as no surprise that H-1B visas in the unskilled category are rarely issued. In 2014, only about 1,000. In contrast, about 159,000 H-2A and H-2B visas were issued for unskilled workers in temporary positions in 2014. Throwing this out there to put the numbers into perspective, not to suggest an H-2A or H-2B visa. As a college graduate you probably wouldn’t be interested in the kind of jobs that sponsor those visas: http://www.epi.org/publication/the-h-2b-temporary-foreign-worker-program-examining-the-effects-on-americans-job-opportunities-and-wages/