I don't usually work with melamine, but need to cut some closet parts.
My normal blades, a WWII and a Freud, chip the edges of melamine more than I can tough up and hide. I was ready to go out a drop $90 on a "real" melamine blade, when I noticed that the highest rated melamine blades all have a negative tooth hook angle. My Forrest Chopmaster also has a negative hook angle, so I moved it from the SCMS to the table saw and let it rip. The Chopmaster does a fantastic job of cutting melamine on the table saw! I use a sled, so the bottom is supported.
If you've got a Chopmaster, and need to work a small amount of laminate material, give it a try!