1 Cor 15:21-22
For since by man came death, by man came also the resurrection of the dead. For as in Adam all die, even so in Christ shall all be made alive.
(see also Rom 5: 12)
I covered those who want to pick and choose (or twist against the clear intent of the authors) toward the end of my post.
Again, you are stating that "evolution and the Bible" conflict when in fact it is one interpretative position on the Bible (characterized as "literal") that is in conflict with evolution. Your Corinthians quote presupposes the existence of a literal, single Adam. Making that presupposition is predicated on a literal interpretive framework.
We could go on, and on, and on... and I've done so with theological scholars back-and-forth many times. I'm not going to go over point-by-point the arguments that I'm sure you can bring up. I hope what will suffice is the understanding that "picking and choosing" is not synonymous with advocating a non-literal interpretive framework for the Bible, and I hope you do not question the fervent faith of Christians who do not interpret the Bible in the manner you prefer.