There are plenty of living examples of the Holy Orthodox Church continuing in this tradition: the only orphanage in Guatemala is run by Orthodox nuns (who keep the strict Orthodox monastic rule); we are looking forward here in Kansas to a promised visit by a Fr. Daniel (whose last name is a long, to me unpronouceable Indonesian name) who is bringing the Gospel to Indonesia, and is under death sentence by for converting from Islam.
Again I invite you to look into the Church, rather than projecting Western misconceptions--your remark about monasticism shows how little you know of its Eastern version.