I think Occam's razor is still a useful tool for finding truth, it just has to be properly applied. Using the example of the solar system, the geocentric model was initially simple because it handily explained the motion of the sun, moon and stars. The problem arose when new evidence was examined - planetary motion. While it is possible to accurately describe the motion of the planets while making the assumption of a geocentric universe, it becomes rather complex. And so the apparently simple geocentric model requires a great deal of complexity to be consistent with ALL the available evidence. The heliocentric model appears more complex at first, but it allows for a far simpler explanation planetary motion.
So the key is to look for the real "simple truths" and not just the superficially simple explanations that then require ever increasingly complex rules to explain new evidence. JW doctrine on the face of it is reasonably simple but then when you begin to consider things like the sheer number of animals that would've had to have been on Noah's arc, or the logistics of an eternal paradise the apparently simple doctrine has to be continually adjusted and refined with ever more divine interventions and exceptions to the rules. In the end it becomes far simpler to accept scientific explanations and disregard the doctrine that creates endless and needless complexity when examined more closely.