Feats from The First Avenger, The Avengers, and The Dark Knight Rises are allowed.
Round 1: Cap has no shield. No prep.
Round 2: Cap has his shield. No prep.
Round 3: Cap has his shield. 30 minutes of prep for Bane.
Morals on for Cap, off for Bane.
Random encounter in a deserted NYC, start 100 meters away, in clear sight of each other.