So, none of these solutions are going to work, and honestly, generating type at runtime really isn't what you want here.
When it comes to the CLR, once you have a type with fields and methods, you can't really add new members or change members at runtime. The closest we come to doing that is the edit-and-continue features in Visual Studio, we're highly restricted to what changes we can make. We often 'cheat' by not adding methods or attributes where you think they added, but we hide them somewhere else and emit IL that references this secret location when you make an edit. Crazy things like removing members is entirely unsupported. Even if it was supported, lots of code likes to presume that doing someObject.GetType().GetMembers()
returns the same thing over and over again.
As far as Roslyn is concerned, when we say the results are "immutable" we don't mean that puts any requirement on any IL that you might generate with it. Rather, when you ask Roslyn to parse something or analyze source code, the objects (syntax trees, type information, etc) is immutable. Still, it doesn't matter since you can't modify types in the CLR once they exist.
I'm with svick in his comment -- this isn't what you want to do. Use some appropriate data structures to represent your information at runtime, rather than trying to think of this as a concrete class that can be mutated somehow.