Cessationism - Have healing and miracles ceased?

This seems to be the main verse that may indicate supernatural gifts ceasing:
 
1 Cor. 13:10 but when perfection comes, the imperfect disappears.
 
But Paul refers to this time as follows:
 
1 Cor. 13:12 Now we see but a poor reflection as in a mirror; then we shall see face to face. Now I know in part; then I shall know fully, even as I am fully known.
 
We don't know God like he knows us! And we don't see him face to face yet. Thus 1 Cor. 13:10 cannot apply to the gifts disappearing.
 
Then there are verses such as this one:
 
Eph. 2:20 ... built on the foundation of the apostles and prophets, with Christ Jesus himself as the chief cornerstone.
 
If the purpose of the gifts was to lay the foundation, then when the foundation was laid, the gifts had served their purpose, and could cease. But the gifts weren't just for the apostles and prophets! Nor were they for only for unbelievers, to bring the gospel to them:
 
1 Cor. 14:23 So if the whole church comes together and everyone speaks in tongues...
1 Cor. 14:24 But if an unbeliever or someone who does not understand comes in while everybody is prophesying...
 
Also, there is the argument that the gifts were to authenticate revelation, such as in the time of Moses or at the time of the establishment of the early church. But a quick glance through the Bible will show miracles all through it! Not just during the time of Moses and the early church.
 
As far as evidence for the gifts today, well, after prayer, I have experienced healing several times. And Paul says "eagerly desire spiritual gifts, especially the gift of prophecy." So we can ask! And if God gives us a supernatural gift, that would resolve the issue. And I expect that the devil will not answer a prayer that is prayed sincerely to God.
 
Mt. 7:9 "Which of you, if his son asks for bread, will give him a stone?"