Prepare the crust: In a mixing bowl, combine the cookie crumbs and butter to form a crust. Press the mixture into the bottom of a baking dish to create a firm base.
Mix dry ingredients: In another bowl, blend together sugar, flour, and salt.
Combine the wet ingredients: Gradually add half-and-half milk to the dry mixture until fully blended.
Cook the mixture: Place the bowl over medium heat and stir constantly until the mixture thickens slightly.
Incorporate the yolks: Beat the egg yolks, then mix in a small amount of the hot mixture. Pour everything back into the pot and cook for a few minutes over low heat while stirring.
Add the butter: Remove from heat, and incorporate the butter until fully melted and mixed.
Layer the cheesecake: Pour the cream mixture over the cookie crust, layer the sliced bananas on top, and bake at 175 °C for 15 minutes.
Cool and serve: Take it out of the oven, let it cool, and it’s ready to be enjoyed!