Yes, of course, it's trivial to disprove this idea because it's childish nonsense that may sell popular books for readers who don't understand the subject but that contributes nothing to to the actual science.
It's very easy to adjust the parameters of the cosmological and particle physics model we use to describe the Universe so that the number of black holes that are produced will be vastly higher than in our Universe - in which black holes are very rare. For example, move the inflation scale closer to the Planck scale to create higher non-uniformities in the CMB etc. That will also create a higher number of black holes. So our Universe is demonstrably not optimized for "black hole fertility". See also
http://arxiv.org/abs/hep-th/0407266
http://motls.blogspot.com/2006/10/on-cosmic-natural-selection.html
In the first paper, Susskind also argues that Smolin needs to assume that the reproduction of universes through black holes beats eternal inflation which it almost certainly doesn't.
Moreover, the counting of black holes is really ill-defined because of the quantum nature of our world - in particular, tiny black holes are indistinguishable from ordinary heavy elementary particles. The very notion that the interior of a black hole may give rise to a new Universe contradicts the holographic principle (and related holographic bounds; you can't have excessively high entropy emerging out of a small region) and there are many other ways to see that the idea is both ill-defined as well as demonstrably wrong in all of its conceivable versions.