Unfortunately, I don't think it will work.
When I've had the Coppola treatment done, my stylist first put the keratin formula on my hair, then blew it dry, then flatironed it such that it was poker straight. After the blow out, it looked straight, but not poker-straight. It looked like it usually looks when my stylist blows it dry. I think that if you don't flat-iron the keratin into your hair, it will wash out very, very quickly.
It would be interesting to see what a professional would say about it.