The material type has not much to anymore with your scenario as you define in WBS if the special stock is valuated or not, which overwrites the settings of the material type.
of course if the material type does not allow any value then you cannot add any value to a WBS if you transfer normal warehouse stock to the WBS. But if you purchase directly to the WBS then the material type doesn't play a major role regarding the valuation of the special stock.
Still you have not explained why one needs to move material without hitting FI.
And you have not explained where the costs for the material should be left when you move this stock.
