I trailer my z-17 all the time with the cover on. I always check that it is tight and the straps are also secure so they don't just flap in the wind. I recommend stopping after about half an hour on the road. 1st check your wheel bearings to insure they aren't getting hot, then tighten any loose straps on your cover.
Only use a cover when traveling due to weather like rain, snow, or when the roads are sweating. Like Nitro926 stated the cover will eventually wear on the boat finish.
it is also hard on the cover to trailer.
Yes, you can, I pulled my new boat from Pro's Choice Marine in MO. to Louisiana. No problem at all just keep it tight with the rachet pulls.
Tha trip is the only time I've used that cover. I use a nylon dust cover under my garage cover since it's much easier to take on/off.