This sort of faith has nothing to do with Biblical Christianity. Jesus' disciples had faith in him. Did they have evidence for what they believed? Of course they did. Jesus cured lepers, gave sight to the blind, walked on water, and rose from the dead. Faith in Jesus, for his disciples, could hardly have been a matter of "believing without evidence"!
We're obviously in a different position from the original disciples, but this doesn't mean that our faith is any less grounded in evidence. We have outstanding evidence that God exists and that Jesus rose from the dead. Based on what we know about Jesus, we put our trust in him. This trust is what we mean by "faith." (There is also a supernatural element to faith, as something produced by God, but this sort of faith isn't "blind" either.)
Here's a short clip from William Lane Craig on the relationship between faith and reason.