05 Outback LSV - No Tower

In order to get my boat in the garage, I have to lay down the bimini top. I have gotten in the habit of just leaving it rest on the back seat and put it up when I get on the water. Then set it down to trailer home. I noticed that it is now starting to mark up the upholstery where the supports rub on the sides.

Do people leave it wrapped up but in the upright position to trailer? I didn't think it was good to have it flopping aroung in the upright postion, so I was laying it down. Now I am not so sure.

Thoughts?