From the David Austen website.
"Climbing and Rambling Roses
Roses make some of the best of all climbing plants, perfect for growing against walls, trellises and fences, to grow over arches, to cover obelisks, garages and sheds and to clamber up into trees. The English Roses make superb short climbers to 6-10ft/2-3m and are particularly good at flowering from close to the ground upwards. Most are fragrant, repeat flower well and are easy to control and look after. The ramblers are the best choice for trees and growing over garages or sheds as they are generally much more vigorous and so can cope with the competition with the tree roots and/or poor soil. They have elegant, lax growth."
I reckon you want climbers.