The custom case that was included and came with The Dream Stratocaster is the one shown in the above picture.
It is a one off design and completely unique as is the guitar. I would describe this case as a sort of 'Birdseye' finish in a pink coloured covering. Other than the unique finish the case also has a real leather handle. Basically it seems like Ostrich finish and may or may not be the genuine ostrich.
Internally the case has a custom compartment about two thirds the way up the neck - again a unique design for this specific instrument.