Every one of us started out as a new driver so the jobs are out there, you just have to get your butt out there any find them.
Personally, I live in Whitehorse, but knew I'd have a rough time getting hired to run the Alcan with no experience, so I took off to Northern Alberta to work for Arrow for a bit. Loved and been working ever since. (near home now)
I'd recommened trying Arrow or another bulk haul. They tend to be the ones to hire new drivers.