Peace, I still think what you and Amos are trying to imply is 'Duh'.
Your use of Doh is improper. It is actually D'oh which in the Simpsons series (did we have to sink to this depth?) means annoyed grunt. I doubt very much if any standard dictionary has your definition in it.

Duh has been used for many years to denote derisivness. I can't believe you and Amos would intend to simply imply an annoyed grunt.

Certainly it would not be corrosive enough for Amos. You still hold some hope. Not much but some.