Chop both chocolates into small pieces. Melt in a bowl set over simmering water. Set aside but keep warm.
Whip the heavy cream until soft peaks form.
Whip the egg yolks by hand until light and fluffy, about 2 or 3 minutes. Bring the honey to a boil and gradually add it to the egg yolks. Add the dark rum and continue to whip rapidly until the mixture h