Is there such a thing

Perhaps you need to define "good" and "big". What do you think makes a company good? Pay on time? Get the Miles? Get you home on time? What specific criteria are you looking for. Big? is that more than 10, 50, 100, 1000 power units? I drive a company truck. They have about 1500 power units and run west to midwest. I'm paid what was agreed to and on time, I get home when I ask to be home, sometimes 24/48 hours late but always close. Is that what you mean?

 

They are listed in the yellow pages look for private carriers they never advertise for drivers and most have a waiting list.