White Chocolate and Vanilla Bean Cake with Bailey's Chocolate Frosting

I just made this up for a neighborhood progressive dinner party. Nice moist consistency, with a nice blend of subtle flavors -- no one ingredient really over-powers.

1 package (18.25 ounces) white cake mix
1 package (3.4 ounces) vanilla instant pudding mix
1 1/4 cups milk
3/4 cup vegetable oil
3 large eggs
1Tbsp vanilla paste
1 cups white chocolate chips, chopped into *very* small pieces (think almost flakes) in food processor

Frosting
2 12oz containers whipped chocolate frosting
4-5 Tbsp Bailey's liquor

Preheat oven to 350.Grease and flour two 8-inch cake pans.
Blend cake ingredients (except white chocolate flakes) with electric mixer for about two minutes. Fold in flakes.
Pour into pan, bake ~28min, or until toothpick comes out almost clean.
Let cool completely.

Prepare frosting by whipping Bailey's and frosting in a large bowl for 2 minutes.
Slice each layer into two halves; spread 1/4 of frosting on first layer; top with second layer, frost again, etc, skipping sides.