Welcome to the Wefugee Community!
With "Subsidiärer Schutz" you can travel within the Schengen Area for 90 days within 6 months. However, you will need a valid travel document, for example a national passport. Unfortunately the authorities would not issue a blue refugee passport for people with a residence permit "Subsidiärer Schutz". Maybe you can also check this link, as that question was raised here before already:
I hope this could help you with your question.
All the best,