Ask me who I think will take this one.
Really, I don't see much of a fight here. Cap outclasses DD in almost every aspect. He's faster, stronger, more experienced in the arena of combat tactics, and his endurance goes way beyond the lasting power of Dare Devil. As for people saying DD is a better fighter, Cap trains every Avenger who joins the team, because he is one of the best. Most of the heroes in Marvel have admitted that Cap is one of the best hand-to-hand combatants in the Marvel Universe. And the shield isn't just some toy he drags along, it is part of the character. He fights with it as an extension of his own body, just like Thor and Mjolnir or Spidey and his web-shooters. So I gotta give this one to Cap easy. Plus, he's done it before. Nothing has changed about their power levels or abilities.
The good captain wins this one. DD is awesome, but outclassed by
Cap in almost every way. DD can lift somewhere around 400 lbs.
Cap can lift 800 lbs. Not to mentions more experience, speed, etc.
DD is probably more acrobatic than Cap, but that won't win in this fight.
Cap definitely wins. He's done it before.