For discussion of parameters within Minimalism, you might see work by Ian Roberts at Cambridge. (I don't have anything particular in mind, just some comments he had at a conference.) He is one of the few I know of still using parameters, but an updated version of them, trying to fit them into Minimalism, or at least see how well that would work out. So you will likely find discussion of compatibility with Minimalism and criticisms of parameters in his work.