M.K.
It's worth a try. I used our clothing steamer to get grime off an oven door and it worked (the outside of the oven door after I boiled something over- so it didn't sit too long before I cleaned it). You can also try using oven cleaner. The no-fume stuff worked wonders on my tea kettle. A word of warning, in case you get punchy, the steam will ruin the cabinet finish if you try to steam slimy handprints off the drawer front. Trust me on that one! Good luck!