B.W.
Well, I use all cloth. I suppose you could.... Don't know if there would be any chemicals in the diapers that might get onto the doublers and make them not wash up as well. I just don't know there. There are disposable doublers. I remember using them some in my disposable days, particularly for overnight. They were quite cheap and I got them at Food Lion. Looked like a big sanitary pad with no sticky side.
Good Luck!