I hesitate to give advice as i came here in 1974 and the requirements have changed so much. I married an American girl in the UK so just needed a green card for my permanent residency and a form filled out from a sponsor (my father-in-law) who said he’d support me if i couldn’t get a job. (Thanks Dad 
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I rented a tractor trailer to get my commercial driving licence but it took me a year to find a driving job, i worked in a warehouse in the meantime. The big trucking companies are always looking for drivers and a lot have their own training program to get a CDL.
Working for a Canadian company and driving into the US seems to me to be the best bet as Canadian drivers would bring a load in then get a load back and not get screwed around delivering local loads like could happen with a US carrier but this may have changed.