Both teams start at fair distances, though I feel the Bat Family will make better use of this location since (as @NeonGameWave stated) stealth is the Bat Family’s strength. Hawkeye’s arrows would be easy to evade by either member of Bat’s team, once you get up close to him he should be easy to take out by any of the Bat Family members. Batman should be able to hold off Captain America for Nightwing to help him out; since it’s morals on, I believe Captain America can take out Batman in a very long fight since Batman tends hold back a lot of tools of his when he has his morals on. Nightwing should be able to take out Black Widow while Red Robin takes out Hawkeye.
The Bat Family is also very good when fighting as a team. They are synchronized and even more synchronized that the Avengers in this battle, so because of their expertise, stealth and firepower, I say the Bat-Family wins 6(.5)/10.