Why Collingwood could save little more after Trafalgar

Could a new commander save more Royal Navy ships and prizes from the storm after Trafalgar?

Probably not by much; Collingwood already made strong decisions with badly damaged ships, and a better result would depend mainly on luck.

Collingwood rallied the fleet and organized repairs after Trafalgar as effectively as the circumstances allowed. British ships and captured prizes had already suffered severe hull and rigging damage before the storm arrived. Moving farther offshore might save an additional vessel, but it could also expose damaged ships to new risks. A substantially better outcome would depend on luck rather than a superior plan available in hindsight.