M.B.
You might try a wonderful (and inexpensive) product that has been around for many years: Barkeepers Friend. You can get it at Walmart in the powder form (sort of like Comet Cleanser) or in a soft liquid form. It cleans stainless cookware and other items like a dream and will not scratch. It may be just what you are looking for, and you won't be out much $$ if it doesn't work. I use it all the time and keep a can in every bathroom, as well as under the kitchen sink. I read about it in a wonderful email 'column' called "Cheapskates" and have been a loyal user ever since. MBest