Q.Self Clinging Evergreen Flowering Climber For A Garage Wall
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Certified GKH Gardening Expert
I will assume that this is the UK and not Yorkshire, NY since the state is not included, as well. If this is the case, your zones will be the equivalent to our zones 8b and 9a.
I could recommend the evergreen honeysuckle. This flowering vine will remain green throughout the year in your area.
If you broaden your criteria, then there may be more available to you. This article will offer some suggestions:
https://www.gardeningknowhow.com/garden-how-to/gardening-by-zone/zone-8/vines-for-zone-8.htm