I had an inoperative truck shipped across the country. Took longer to book and cost a few dollars more but it got done. Some drivers don't want them, that's true, but it's a free market and you can find someone to take it.
I always like to give my transport broker a shout out. Henry Metzger,
www.hjmshipping.com. Hard working and honest. I have shipped 3 times with him with no problems, and would use him again in a heartbeat.