Oh, heh the ctenochaetus, since you asked are also not schooling fish, though they look like they are schooling, since there are giant schools of them (kole) over the reef, when one looks closer, they are actually acting individually.
Yes you can keep any one of this genus in the tank, with no conflict with the other tangs. The most commonly available are the 2 spot or the orange lined, of which the orange lined looks a bit better. the tommy, is a bit more expensive. Don't try to keep more than 1 of these, since they will starve out if there's isn't enough slime growing on the rocks, and they will clean it out really fast. I've had 2 of these starve out when the tank was too clean. (2 separate times, not keeping both at the same time). It may take a few months for the fish to convert to dry food.