For those deep cuts I have used a reduced shank carbide end mill. Various sizes are available. I have used the 3/8" with the flute length of 5/8" and the shank is something like .370. It takes a few steps down for deep pockets or in your case, outside profile. Then a finish pass of .005 pretty much removes all tooling marks. Also make sure you only have the tool sticking out of the holder the min. required. I purchased these from Maritool in Woodale, IL (they have an online store.)