You need to define those properties better. Rubber compounds vary from being very insulative (10 to the 14th ohm-cm) to "semi-conductive" (10-1000 ohm-cm)to actually conductive (actually a collection of conductive particles held together by just a bit of rubber matrix). On the conductive compounds are really heat conductive in any sense. Good luck.
R J Del Vecchio
Technical Consulting Services
(consultant in Applied Rubber Technology)