Allow me to make this easy for you. Instead of calling it a fistfight were one side gets nurfburgled, why not just call it a competition of fighting skill?
In a purely fighting technique perspective for example, I would give that edge to Dare Devil. The dude has a more nuanced and practiced fighting style. Steve seems more reliant on his more innate abilities such as his strength and his hand eye co-ordination (All his shield techniques for example) and it isn't quite a skill rather an innate ability.
However, Daredevil's accomplishments are not as high as those of Cap, because he's not meant to take on the same calibur of foes that Cap does.