Vicente,
My old Heat Transfer textbook (Holman, _Heat Transfer_, McGraw-Hill, 1986) gives a value of 0.54-0.63 for type 301, B stainless steel (presumably they mean a "Grade B" finish), and a value of 0.074 for polished stainless. In general, stainless steel above 300 C is going to slowly oxidize, and its emissivity and absorbtivity will both climb. This phenomena is pretty much the same for all "common" metals, and the emissivity becomes higher as the temperature gets hotter (thicker oxide layers build up, and become rougher and absorb light better). Another approach you might consider is replaceable foil insulations (aluminum may work).