A quick hand calc gives a required plate temperature of -14 deg.C (assuming both plate and item have high emittances ~0.9). If you want to use a cooling system you will need a larger Al plate for water or a more exotic coolant. Alternatively you could look at a conductive solution such as...
You are more likely to find the material properties that make up thermal diffusivity. Look for thermal conductivity (k), density (rho) and specific heat capacity (Cp) of the material as a function of temperature. Diffusivity = k/(rho*Cp).