My company runs captive to a Sabbath keeping company and hires the non observing, to work during times those who observe the forbidden times can’t work.
This is what it is, there are places that won’t work, ship, or take deliveries during the Sabbath or on what we call ‘black’ days. It really has little to do with what the truckers want. Our plant places those loads outside the gates, and we can run them to deliver when they are wanted.
If you find a company like that, they may accommodate your beliefs and practices. Ours uses others to accomplish what they want, trucking runs outside the plant, subsidiaries and others that observe the Sabbath and certain Holidays.