Hi Hurg,
A lot of the Mt Mueller area is inside the Southwest National Park and out of bounds, as far as I know. Adamsfield is in a Conservation Area, but it was specifically set up to - and the management plan allows - mining and mineral exploration.
Have you used LISTmap? It's a hugely helpful resource, and under the layers tab you can overlay reserve estate (where you can also click on a reserve and see if mining is allowed), geology, land tenure, google earth satellite pictures... It's pretty much my go-to place when I'm planning where to go.