from my understanding of heat transfer your problem is almost impossible to solve by measuring the coated specimen. If you have a coating of nm-scale thickness on a mm-scale substrate (piece of metal or whatsoever) the substrate is always dominant and even if you succeed in measuring substrate and substrate + coating (e.g. by laser-flash) the substate which is 6 orders of magnitude thicker will always dominate the total conductivity unless its conductivity differs from the conductivity of the coating by at least 10000:1 (coating has lower conductivity). Otherwise the measured difference will systematically disappear in the scattering of your measurement. If your coating is more conducting than the substrate it does not work at all.
We can measure thin coatings of less conducting material on a very conducting substrate such as Cu, using our Lasercomp Inc Fox 50 apparati. However nanometers of thickness is pushing it!. We are struggling to measure microns of thick coating - so suspect that nanometers would be impossible with our method. If you can make the thickness microns or ideally 100s of microns thick then we will have a go for you, over the T range 0 to 250°C. John Gearing of Gearing Scientific.