Chop the chocolate and set aside (I would not recommend chocolate chips, as they will be a bit too chunky). Chop so that each piece of chocolate is no larger than a mini chocolate chip. Set chopped chocolate aside.
In the bowl of an electric mixer, beat the butter until smooth.
Add cream cheese, and continue to beat until smooth and fully incorporated.
Begin adding powdered sugar, one cup at a time (while mixing). After you’ve added 1 cup of powdered sugar, add a tablespoon of heavy cream.
Continue adding powered sugar and heavy cream alternately, until you’ve added all 4 cups of sugar, and 4 tablespoons of cream.
Continue mixing, and add vanilla and 1 1/2 teaspoons of mint extract. Once incorporated, stop mixer and taste frosting for minty-ness. Decide if you’d like to add an additional 1/2 teaspoon mint.
Add 1 or 2 drops of green food coloring and blend until fully incorporated.
Continue to beat an additional 30 seconds to 1 minute. As needed, add an additional 1-2 tablespoons of heavy cream.
Add most of the chopped chocolate, reserving about 1/3 of it for garnish. Beat just until incorporated.
Fill (2/3 full) a large piping bag fitted with an extra large round tip, or add frosting to a large ziplock type bag and snip off one end (to make an opening about 1/2 inch diameter).