Many preceptors give their monks names, and usually it is something to aspire to, something that is meaningful to you and your practice. Some monks look in the Theragata - the poems of the enlightened monks of the Buddha's era. There may be a particular monk in there that resonates with you. In many other places in the suttas there are a wide variety of monks and lay people with various characters, strengths and attainments.
You may wish to look through the suttas for the name of one of the foremost lay supporters of the Buddha, or choose a monastic name.