There have been 2 BATMAN/DAREDEVIL cross overs published... both of them where pretty much rubbish.

If the 2 where locked in combat Batman would win based on Size & Strength. We can figure their skills are fairly equal and Batman's gadgets would ballance DD's hypersences.
If DD used his smarts he could possibly get Batman in trouble amidst a rooftop chase. He could then use his Ninja skills to track Batman to his home & wait until he's out of uniform & in public as Bruce Wane. Bruce would have to loose in that case... and it's the sort of thing DD would do if pushed.