You could make yummy cookies with the ingredients you describe. Try this:
Preheat your oven to 425' F. Separate three eggs into yolk and egg white in two bowls. The bowl with the egg whites must not be plastic. Also, there must be absolutely no egg yolk in the egg white bowl. Add 1/4 cup of powdered sugar to the egg whites, along with a tsp. of vanilla extract. Add a pinch of cream of tartar to the egg whites and whip until stiff peaks form (use a mixer to make this chore easier.). Mash 3 bananas until smooth. fold into the egg white mixture.
Plop 2 tbs. of the egg white mixture onto a parchment paper lined cookie sheet to make 12, even sized blobs. Place into the oven and bake for 10 minutes. Check the cookies and remove when they are lightly browned on top.
While the cookies are baking, combine 1/4 cup of sugar, 1 tsp. vanilla, and 1/2 tsp of salt to the egg yolks. Beat until smooth. Heat 1 cup of milk over medium heat until it forms a skin on top, but doesn't yet boil. Rapidly stir 1/2 cup of the hot milk to the egg yolk until smooth. Pour that back into the pan, and heat over a low temperature, while stirring, until the mixture thickens.
When the cookies are done, remove them from the cookie sheet and let them cool. Top each with a tsp. of custard, or use the custard as a dip for the banana cookies.
I haven't done this, but have made meringue cookies before. With the banana, this might come out more like mini-soufles. But you never know unless you try.
I believe the famous Sacher Torte is made without flour, so there is precedence.
Seeeeeeya; Chief Longwind of the North
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