Batman is considerably faster than "regular humans".
Batman is just as much of a strategist, if not more so, than Daredevil.
Batman's attention to detail is what sets him apart from most opponents who are unable to think and process nuanced information in a fight. His biggest strength in combat is his ability to parse his opponent's weaknesses on the fly. Daredevil would very likely have an early advantage, but as the fight goes on, Batman would absolutely figure out that he's blind. Whether by noticing DD's mannerisms or just noticing that DD isn't impacted/impeded by smoke devices or any other number of small things, Batman would figure it out. And once that weakness is figured out, it's all downhill.
What people have said here isn't just "Batman would win herp derp", but explain how, hypothetically, he would have a combat edge over DD.
You just say "DD is fast, smart, and brutal".
HOW does he beat Batman? What weaknesses does Batman have that can be exploited?