There would possibly be more Biblical proof to show that the office of Evangelist is more temporal than any of the other offices if a literal interpretation was to be made of Paul's list to the Corinthians.
1Co 12:28 And in the church God has appointed first of all apostles, second prophets, third teachers, then workers of miracles, also those having gifts of healing, those able to help others, those with gifts of administration, and those speaking in different kinds of tongues.Yet I doubt if any one would say that Paul is specifically excluding Evangelists from this list, rather his emphasis is one on ensuring we are loving and using all the gifts for the common good. There is no clear cut Scripture that says there will be no longer Apostles, Prophets, Evangelists, Pastors and Teachers and if one was to make a case that they and other supernatural gifts are no longer for today as mentioned; miracles, tongues, interpretation etc, then we have to say that the gifts of helps and administration which are sandwiched between healing's and tongues also have to have ceased as well.
1Co 12:29 Are all apostles? Are all prophets? Are all teachers? Do all work miracles?
1Co 12:30 Do all have gifts of healing? Do all speak in tongues ? Do all interpret?
1Co 12:31 But eagerly desire the greater gifts.
And now I will show you the most excellent way.
Paul then goes on to say that while he would like all to use the gift of tongues, he would rather they use the gift of prophecy more so. 1 Cor 14:5. If it was, as many teach that Paul is talking about the perfect being the Bible 1Cor 13:10 and therefore tongues and prophecy will be no longer, then Paul would have expanded and taught more in his next paragraphs about how they were to come together without using those gifts.
Yet he doesn't do that, instead he strongly promotes the use of those gifts, expects them to be used lovingly and therefore shows that they are part of the fruit of the Spirit and that no one is to forbid either the speaking of tongues or prophesy.
When one considers Paul's and all the other Apostles acceptance of Prophets in the narrative story and that they call other's Apostles and Evangelists who were not of the original twelve. And that there is no teaching within any of the epistles that God will no longer equip, gift, promote any to those positions, one is hard pressed to make the call that Scripture says that they will cease.