I usually trailer with the cover off and if it's a long distance I shrink wrap it past the chine and shrinkwrap tape to the boat so no wind can get underneath the cover. I trailered a few times with the full cover but only on the local highway (50 mph).
I've seen too many covers from previous customers shredded on the turnpike so I don't take my chances.
You'll have some road dust to clean in the cockpit when you get there.