Must be nut free
It depends on how strict you are about Passover rules. One solution would be to take matzo, grind it up, and use it as flour. However, from what I understand (I am not Jewish), anything made from a grain and in contact with water for more than 18 minutes is not safe for Passover. Since banana bread made with matzo would bake for more than 18 minutes, it is not technically Passover. Another solution would be to make a gluten free banana bread follow any gluten free banana bread recipe. There is also a recipe at http://www.epicurious.com... that you could easily turn into bread by baking it in a bread load pan. Or there is this recipe http://meritandfork.com/nut-free-banana-bread/ that uses cassava flour.
Laurel, this is on the right track, though already-ground Passover matzah meal and Matzah cake meal are commercially widely available and are acceptable to many people, since it is from already-baked Matzoh (there are always folks who are very strict, but that's a percentage of the observant). So the baking time is not at issue.
Fortunately there are more and more products each year with certification, meaning there is oversight during production to ensure that the equipment used is not tainted with forbidden grain (or other) products.
Here is a recipe using potato starch: https://elanaspantry.com/paleo-banana-bread/
If matzah cake meal is available in your area, you could try substituting that for the flour in a regular recipe. This year (2017) the coconut flour from Trader Joe's bearing the BCK hechsher (kosher certifying symbol) is kosher for Passover even without special Passover certification.
Private message me if you wish additional information about this or links that explain why. I don't have a lot of experience baking with coconut flour so I don't know if you need to make any adjustments to the recipe.
sorry, linked to a recipe with almond flour, the correct link for potato starch banana bread is here: http://www.epicurious.com...
Thx. Can't use almonds bc of nut allergy and in my experience coconut flour doesn't sub well for almond. Thx though
Actually meant subbing coconut flour for regular flour in any recipe, not almond meal (that recipe was linked by mistake) to make it suitable for Passover. Though you might need to make adjustments. I know each flour has specific qualities that change the result.
If you want bananas in a baked dessert, but don't get a cake that meets your menu, have a look at this banana chocolate pudding for passover.
And don't forget Banana Ice Cream!!!!!!!!!!!!!!!!