Oh dear - you still in trouble!
No, sorry that won't work. Clematis is the nearest thing to what you are aiming for, but the bindweed will ALWAYS win in the end!
The ONLY way, is a strong systemic weed killer, mixed into cheap wallpaper paste, and PAINTED onto leaves with a suitable size of brush. My wife has done large expanses with a soft broom, and smaller areas with a paint brush. That is also a good way for dandelions and brambles.
I do admire your desire to be organic, but I'm afraid in this instance KILLER is the only way. It's also a good way to spot-weed paths or paving. Wear rubber gloves, and keep the girls away.
Oh! Did the girls see the Cbeebies Prom the other week? Quite fun, and will probably be repeated if they didn't. Are they doing Music yet?
What have you planned for the front garden?
[You never answered my questions the other week, but I'll come back sometime.]