Vinca won't climb but will act as a ground cover, although it could drape down a wall.

Climbing hydrangea isn't a fast grower, so it might take awhile to train it (although when trained, they are pretty).

For an evergreen vine, you could try a virginia creeper, a creeping euonymus, or perhaps better, a crossvine (although the crossvine does bloom but it is gorgeous when in bloom in spring).

If you really want to train and were willing to go with the hydrangea, also consider a group 1 clematis (which blooms in spring on previous wood and its vines form a permanent woody structure).