Just a few thoughts. I wonder if you could try to espalier some rose of sharon there? I know they can be espalied, and can take some shade and drought. Or maybe virginia creeper, with some judicious pruning? Climbing hydrangea can take shade, but maybe not drought and would get too large. Or a variety of other shrubs which might not climb the trellis but might take those conditions? It depends on just how shady the area is.

yes I am with gcreek on this one. I have a thought of making anything do what I want it to do....within reason of course.
Try other plants, some will need more maintenance then others though. Meaning, they will grow faster, larger etc. Virgina creeper is very tough and is the first to go and the last to come in the spring. A good season change indicator heheh. I use Virginia creeper with my trainings going over the trellis at the entrance to our home/yard. Yeah the creeper grows the best. Virginia creeper being the toughest of the creepers for my zone 2 ....ugh yeah I know its a tuff zone eheh ; )

Here is a link that might be useful: break time (__)o have a LQQK see and a listen