Would a roughly 300-mile helicopter range be enough to hunt submarines around a convoy?
Short answerYes; local patrols only need to force a U-boat underwater far enough away that it cannot track, overtake, and attack the convoy.
NotesA roughly 300-mile range is ample because the helicopter patrols locally around a convoy. It could fly about twenty miles out, make circuits around the convoy, and return. A surfaced U-boat can try to fight, but gunfire attracts the convoy's other helicopters and surface escorts. Diving avoids that surface fight but removes the speed and visibility needed to track, overtake, and position against the convoy. The helicopter can therefore neutralize a submarine without sinking it by forcing it underwater far enough from the merchant ships.