Instead of putting the peppermint extract in the cookies how about making a peppermint filling instead?
(not mine)
For the filling I use a recipe which I call Fluffy White Frosting
You heat some sugar(200g) and water(80ml) in a pan until the sugar has dissolved and it starts boiling. Then you whip 2 eggwhites and a teaspoon of pepperment extract until stiff peaks. Pour the sugar syrup into the stiff eggwhites and whip for 10 mins until thick and glossy. (optional: add green food color). Best served the same day if added between cookies, or keep cooled and rewhip next day.
Ah! I might do something like that. I'm making them for a little class get together so I'd probably make them pretty small (30 students x2 regular sized cookies each confection lol...no thanks haha) but yes! Those look delicious.
Thank you for the suggestion