I would point to these arguments by Matt Elton that reflect my stance on this doctrine. I think the second argument is perhaps the strongest. The author makes the point that the doctrine of total depravity is at odds with the humanity of the Lord Jesus. Here is the link if you would like to take a look.
http://lhim.org/blog/2014/02/06/three-arguments-against-total-depravity/
http://lhim.org/blog/2014/02/06/three-arguments-against-total-depravity/
If man is capable of choosing God, salvation does not need to be predetermined by God, and can be on the basis of our free will decision to believe in Jesus Christ (Romans 10:9-10).