Carbide bits are also know as masonary bits. Usually have 2 carbide cutting flutes soldered on to a steel shank. They look a lot different than hs steel or cobalt "twist" drills. They can cut through masonary or brick, but you often get a rough looking hole. You could clean it up with a carbide end mill, chucked in a milling machine (and you could bevel the edges of the hole at the same time with the right tooling). Problem would be holding the Tbird chip solidly enough to prevent any vibration or chatter, without at the same time crushing the chip. If you want to send it to me I'll play with it and see what I can do.
WebDude