Its possible with God, but we still should go with what the Apostles taught the Church. Bring your infants to get Baptized into the family of Christ. His Church. Raise them with the Sacraments...<quoted text>
You said " I can think of a hundred different scenarios where someone might get saved without the normal means of Baptism"
so we can receives salvation different ways and even without being baptized?
Any other scenario is too risky. It seems like many born agains went the party animal route, then luckily met Jesus and changed. I doubt that's the normal path the Apostles taught..