I agree with your assessment, and silk scarf seems to be the better choice. However, I'd like to point out that Furret has lowish attack, so a Choice Band set would also make sense, specially with U turn. Also, I'd suggest getting rid of at least one of the first three moves in favour of Super Fang (don't bother with the Band then) or a coverage move like Shadow Claw. Also toxic orb is a no if you scrap Facade, but is okay otherwise to soak other status. As it's naturally not bulky, the passive damage doesn't threaten it's already short lifespan much.
All in all, go for Toxic Orb, scrapping Double Edge for Shadow Claw or Super Fang. Or, CB with U Turn / Retaliate/ Shadow Claw and Double Edge is good for consideration too.