Some carrier will do it on regular trailers (enclosed or flat) the only thing is make sure that the car is low in gas. (just enough to put it in and out of trailer)
Check with your regulars that go in that area wouldn't mind doing that favor for you. (it's 20 feet of a trailer or 10 skid spots)
I had a carrier do that once, but it required a towing (carry-on)to put it in and out.
Hope this can give you a little help
Cheers