Which way is this fence running? Which side is in question?
Assuming plenty of sun, instead of trying to obscure the fence, I would try to use it. Like for espalier apple or other fruit or flowering tree, rambling roses, and you can fill in with other plants. I would encourage you to avoid a monoculture of just 1 thing.
If you use woody entities without specifically directing their growth, they will be round things bumping against a flat surface. That can be bad for the plants and the fence.
