This question was motivated by the answers in D-module as quasi coherent sheaves on deRham stack. What I am interested in is the case of D-module on flag variety of Lie algebra. So,in this case, if we realize the D-module as quasi coherent sheaves on De Rham stack X^DR. Then the stack X^DR is a scheme or not?

Why do I ask this question?
Because from the point of view of noncommutative algebraic geometry, if we realize D-module on flag variety of Lie algebra as a quasi coherent sheaves on **"space"**, then **this space** is actually a noncommutative separated scheme.

So I guess, this DeRham stack will be a scheme in this special case