Crossvine might do, although the texture is a bit coarser than Jessamine and it wants full sun. Bignonia capreolata. It’s native, climbs by twining and with adhesive cups that don’t damage mortar. Flowers are red-orange, and attract hummingbirds. I have it in my yard, and the species performs better than the cultivar I purchased at the local university plant sale a few years back, fyi.
Another suggestion would be Clematis armandii, although it prefers more shade, especially on its base. It is beautiful, the leaves are elongated, bigger than the crossvine, and elegant even when the plant is not in flower. I’ve never grown it, but have heard it can take a few years to establish, and then if it’s happy, will really fill in. It’s not native, however, so you lose that. Good luck! Have fun!!