I would think that getting a "job" in expedited is hard anyway. There just aren't that many regular jobs in this field. Most are independent contractors, which is hugely different than a job-- where you get paid holidays, vacations and the like.
About getting signed on as an IC... You'll just have to ask some outfits. Without knowing more about your record than we do, and without being able to match that record up with individual companies' policies, there's no way for us to know. Some outfits are real sticklers, and anything wrong is enough for them to say "No", and other companies seem to require only that you possess a pulse and they'll sign you on. So, I reckon you'll just have to ask some companies.