What are some names for monks?

Whatever name his teacher gives him.

The whole method of overcoming attachment in Theravada, and one of the main techniques in all other Buddhist monastic traditions, is just not feeding them. Attachment to food, for instance, is combated by the practice of accepting alms. You eat whatever is put in your bowl. Period. Allowing a monk to pick such a prop to ego as his name would set him back several lives.