What is your definition of "do not conduct electricity"? Do you have a specific electrical conductivity value in mind? Metals have a wide range of electrical conductivity values, but I do not think you will find what you want. By definition, metals have metallic bonds, which have delocalized electrons that are available for conduction.
When an element has an energy gap in its electron structure, like silicon, it's still technically a metal but doesn't conduct current at all voltages; only when there's enough voltage to overcome that energy gap and elevate electrons to metallic conductivity.
That's as close as you can come to a non-conducting metal.
Trying to decipher the originator's desire, why use a metal? Metals are deformable, but silicon is not. Therefore, silicon does not share the usual properties of metals, and should be considered as a different class. In elementary school, we were taught that they were metalloids, but this term seems to have fallen into disfavor.
