Also, you've got this weird thing called skin effect where the current mainly flows on the surface of your conductor. 8.5mm deep for 60Hz, but 2μm for 1Ghz. So what's in the center of your conductor doesn't really matter.
However, if you want your signal to travel at c, surround your conductor with vacuum instead of insulation. I think to actually reach exactly c your vacuum would have to cover an infinitely(?) large area around it.
If you want something more practical, air has a relative permittivity of 1.0006 (vacuum is 1.0), so if you surround your uninsulated conductor with air, you get a velocity of 0.9997c.