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Rebar (assuming it weathers well) trellis like this? The "roughness" of it would not be a design problem. I like the way it is offset from the supporting structure.
An outdoor metal trellis similar to this mounted on your brick wall for the honeysuckle.
climbing flowers for trellis | Metal Trellis, Trellis Designs, Decorative Garden Trellis
modern metal trellis
Circle trellis -- would be very pretty with morning glory vine.
Branching Trellis | Trellis Art Designs
Belham Living Danbury 39-in. Metal Trellis - Let ambitious foliage climb up the Belham Living Danbury 39-in. Metal Trellis and bring some gorgeous garden charm to your outdoor space! This metal...
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Free-standing trellises for front of house