No Egg Tirimisu

I've been trying to come up with a recipe for Tirimisu that contained no eggs.
I'm not worried about the raw egg issue or even the allergic to eggs thing.
I just don't like the after taste I find in using raw egg yolks in this dessert.
I'm fine with using just plain old store bought lady fingers
or biscotti for the bisquits used in making Tirimisu.
Then I found this Sponge Cake recipe:

2 cups all purpose flour
1 cup sugar
3 teaspoons baking powder
1 teaspoon cornstarch
1 teaspoon vanilla
1/4 cup plus 2 Tablespoons canola oil
1 1/3 cups water

Combine all the ingredients in a bowl
and mix until smooth and free of lumps.
Pour batter into a greased 9 inch pan.
Bake at 375 degrees for about 40 minutes.
Allow the cake to cool completly and then
slice it into lady finger shaped strips.
Put the strips on a cookie sheet and bake
in the oven at 400 degrees for 18 minutes.

For the cheese mixture:
16 oz Cream Cheese
1/2 cup whipping cream
2 tablespoons Amaretto or Marsala
1/3 cup powdered sugar
2 teaspoons vanilla extract
1 tablespoon sugar

Coffee/Liquor to dip lady finger in,
1 cup expresso coffee
3 tablespoons amaretto or Marsala
3 tablespoons sugar

I make Tirimisu in a bread pan lined with plastic wrap
enough to cover when filled.
In bottom of pan place shaved chocolate
or cocoa powder or better still both.
Put in a layer of the cheese and whipped cream mixture,
then a layer of the coffee dipped "lady fingers",
another layer of the cheese mixture,
another of the coffee dipped lady fingers,
finally the cheese mixture,
cover with plastic wrap,
refrigerate over night or two.
To serve unwrap and invert on a serving plate.
Heaven in your mouth or a great "Pick me up" dessert.