afaik:
AAA will cover the first 25 or 50 miles. The tow company might stick ya hard for the extra miles.
They will only tow to a business repair shop.
They might not even tow it, or they be required-by-law to call the cops on a vehicle with no plates or paperwork.
ymmv.
Until registered for use on public street, the truck might be considered an object or property.
Using a car dolly seems like the best bet. It doesn't even have to be uHaul.