I have an old rocker chair which I adore, it lives outside by the chickens. For a few years we've treated the chickens with dust for mites and had actually washed the chickens with Adams Flea and Tick dog shampoo, and we sprinkle the poison dust in the chicken's favorite dustbathing spots, and we have clean healthy chickens. But this being mid-Illinois between a wooded creek and a river, this property has always had mites. My favorite chair has mites and they itch. If I wash the old wooden chair with the Adams Flea and Tick dog shampoo, will the old wood be OK? I have rubbed the powder permethrin dust into it, but it washes away. I don't want to paint the chair because I can't stand peely paint, the chair is outside, it is very weathered. It has lasted longer, in its naked wood state, than every plastic and nylon chair we have ever had. Any advice greatly appreciated.