Can I substitute bread flour for AP flour in banana bread recipe?
With some precautions in your mixing method, you could substitute Bread Flour for AP Flour in Banana Bread. Mind you, it may make a stronger, more dense, more chewy banana bread than people expect--but it would still be pallatable, some may even prefer it.

As discussion here points out: the main concern in the substitution is the higher gluten of bread flour.

I checked the King Arthur website, found that this bread flour is 12.7% protein (gluten). According to this chart from Cooking for Geeks (I am not affiliated with the book) indicates, this is low-to-average for gluten in bread flours:


Not over-mixing is critical in this situation, since mixing forms gluten. I can't describe better than @Sam Ley did here. Sam makes a great point: you should be comfortable leaving some dry clumps in the batter. 

Also, if tempted to sift the flour, I would hesitate. sifting the flour will increase powder surface area, which would facilitate more gluten formation.