I have two huge Lady Banks Yellow roses, Tami. I used to have three, but I took the third one out because it kept knocking over the arbors supporting it, even though there were four of those arbors. The remaining two are held up mostly by a long grape arbor and a garage in the first case and by trees, a fence and a gazebo in the second. The photos in our database are pictures of my banksias.
Lady Banks Yellow (Rosa banksiae 'Lutea')
One Lady Banks Yellow would cover your structure within a few years, but it probably would also need more support than that.