I would recommend you use a reliable transport company since you're okay with the average price per mile. There are many that you can google for, here's one out of probably hundreds:
RV Transport Service. I'd think that your first questions as you call some of these companies should would be about liability insurance they have, what it covers, etc. And of course check with your own insurance.
I worked as a drive away driver out of Elkheart Indiana (there are several transport companies there) driving brand new cube trucks, ambulances, and the occasional RV, and I know that all of us drivers were independent contractors. It was the companies that assumed the liability.
On the other hand, there are many many small outfits, sometimes just one person, that do this job for half what the big transport companies charge. I've looked into them when my brother needed his project car hauled a couple thousand miles and you need to be sharp while selecting a company to winnow the wheat from the chaff. Some seem highly competent while others seem sleazy.
I wouldn't presume to make a recommendation of a company as my info is a couple years old and things change rapidly in the hauling industry. I'd suggest you google haulers in your local area and talk to them. There are drivers that only have a big truck with 5th wheel hauling equipment that would be the least expensive but again, your own insurance should be top notch.
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