not have to shave it every month like a Nazir
Minor nitpick — a Nazir/Nezirah only has to shave every month if they make a vow of multiple terms of Nezirus each for a month. If not, they have to let their hair grow until the end of their term (however long it is, with a minimum term of 30 days), until they can go to the Bais HaMikdash and bring their sacrifices.
This would not apply nowadays. Since a person cannot bring sacrifices today, a Nazir/Nezirah cannot complete his/her first term. As a result, even if a person made a vow for multiple monthly terms, they would not be able to shave after the end of the first month (unless, of course, the Bais HaMikdash is rebuilt before then). They would have to let their hair grow indefinitely until they could complete their first term.
The Wolf