Reading along for the first time.
Couple points come to mind.
You don't have a shared wall, this is their garage.
I'm wondering why you thought it was all right to put a trellis there, and have plants going up the side of their garage, but questionable if you could paint it.
In any event....
Put up your trellis, and plant a sweet potato vine.
Damn things will grow anywhere, will reach its roots out past the 4" soil, and doesn't care what kind of soil it's growing in.
When I brought home a crepe myrtle, the was a wee little plant growing in the pot next to the tree. I didn't pull it out, but just stuck it in the ground along with the tree.
It was like Little Shop of Horrors. By the end of the summer, if I had let it, it would have covered a well over 100 square feet, most likely more.
The 2nd picture below? That really pretty, but good luck with keeping a sweet potato vine so contained.
I was talking to a woman in the neighborhood, and she just let's her's grow up a trellis, cuts it down to the ground when it's cold, and let's it come back up again.
If you want more color, plant some morning glories, they'll grow fine anywhere too, and reseed themselves.