There's a fantastic book by Roger Crowley called Empires of the Sea that covers the Habsburg-Ottoman war for control of the Mediterranean. The early chapters go into great detail on the Siege of Rhodes, including Tadini's efforts, and how the lessons learned there would set the stage for later battles (particularly Malta and Lepanto) and the end of Ottoman supremacy. For anyone interested in this article or the era in general I can't recommend it enough.
Definitely adding that to my reading list. My understanding is that the Ottoman strategy for controlling the Mediterranean was to go the "long way 'round" and control as much of the surrounding ports, as opposed to the Knights Hospitaler, the Genoese, and the Venetians who took the approach of building unmatched naval strength.
As an example, during the siege of Constantinople, the Genoese and Venetian navies were ultimately defeated when the Ottomans literally carried their ships over land to get behind the other's defensive line.