Non-Plug-In Heated Towel

A towel interwoven with heating elements that receives it's power from a special towel rack that supplies electricity to these elements through induction rather than plugging it into a wall outlet.

This would eliminate any shocking hazard. The advantage over a heated towel rack is A: the heating elements would reach all points of the towel equally and B: it's novel and neato.

See link for original idea this is based on.

You could also have a section of the floor wired with induction coils to heat a specially wired bath mat.