There are a few helicopters that, depending on the components lost and gross weight may achieve sufficient streamlining to continue powered flight to a more suitable landing area. Others can't be streamlined sufficiently no matter what the weight, and will spin until the torque is removed.
Still others fall somewhere in the middle and the outcome depends on airspeed and other factors.
In any case, while it may be possible to run the aircraft on, the better choice seems to me to be zero-airspeed autorotation, which greatly reduces the kinetic energy that needs to be dissipated at touchdown.
-Stan-