Nelson and Collingwood in a War of 1812 counterfactual

How might Nelson have fared against the Americans in the War of 1812?

Nelson would probably have remained in European waters, while Collingwood might have taken a reinforced force, including ships of the line, to North America.

This scenario assumes that both Nelson and Collingwood survived to 1812. Britain would probably have retained Nelson against France in European and Mediterranean waters and sent Collingwood to North America. Several 74-gun ships could have accompanied him, giving American frigates a heavier force to avoid. Sending both senior admirals across the Atlantic would have been unlikely while the European war continued.