Single engine operation in any twin engined aircraft you land at the nearest suitable airport. Assuming the report is somewhat correct and the event happened some 10 minutes out of Horn then Bamaga/ Horn Island and finally Weipa are the nearest adequate airports. Next in the decision process comes wx evaluation. Engineering concerns for a professional pilot are secondary to the safety concerns of those sitting behind the flt deck door. Anyone who trumpets otherwise doesn't know what they are talking about.