There's a possibility you could be hired in as a system driver if you specifically want that depending on the needs of Transportation and the situation at that particular terminal.
For example, we had a system driver at my barn who was actually the #2 guy on the board (he passed away from cancer a few months ago). It wasn't a typical bid that could've been forced onto a junior driver, it was set up just for him because he had a long commute and was an older guy with no family at the house to worry about. When he died the bid went away, although they said they'd keep it if anyone was interested in staying out all week for the bigger miles (but nobody was). I'm not sure if they'd hire a brand new driver off the street to run system, but I don't see why not.