DAZ Studio 3 has the same abilities as DS4 when it comes to this - indeed, with the smoothing modifier DS4 is marginally better (though it won't help with big things like sheets draping). Most of these things need a combination of dynamics and collision detection: as I said, the Smoothing Modifier does offer a form of colision detection (there's a DAZ YouTube video on this), and DS does have dynamic clothing though it requires special models rather than being a general soft-body simulation system. Bending the bed can be done with DForms - if you parent them to the figure they will apply semi-auntomatically as you pose it. Getting the sheet to drape you really have no choice but some kind of dynamics - I think there's a free sheet available from OptiTex.