Argument from Design has long been under attack by another counterargument which I consider noteworthy.
I saw this in Brief History of Time by venerable Stephen Hawking. It goes something like this. Argument from Design occurs because we are part of this design. When I ask "Why is the Universe so well-ordered?", I can only ask this question being a part of an ordered Universe. If the Universe was not ordered, then naturally I would not exist let alone be able to ask this question or advocate Argument from Design. The order found in the Universe cannot therefore be considered evidence of anything, since this "evidence" is the only evidence that can be observed and is intrinsically biased.
I think this completely undermines what has been said in previous posts. Of course, Stephen Hawking is much better at explaining this.