In a medium sauce pot, combine cream, milk, and one tablespoon of sugar. Set over medium heat and bring to a simmer. Stir as necessary to ensure milk does not burn along the sides or bottom of the pot.
Meanwhile, in a large bowl, whisk together remaining sugar with egg yolks. Once milk mixture has almost come to a boil, lower heat. Temper hot milk into sugar-yolk mixture. Slowly add hot milk into yolks about 1/4 cup at a time, whisking to distribute heat. Once all the milk has been added to yolk mixture, transfer all contents back into the sauce pot.
Stir over medium-low heat until mixture reaches nappe consistency, or 180 degrees F on a kitchen thermometer. Stir frequently to ensure mixture does not burn along the bottom. Let mixture sit at 180 degrees F for 2 minutes to pasteurize eggs. Remove from heat and add salt. Stir to combine.
Add honey, Grand Marnier, vanilla, and ricotta cheese to pot. Use an immersion blender to process mixture until smooth. (Alternatively, use a blender. Remove the center cap from the blender cover and use a towel to keep contents from spraying from the top. The mixture will be very hot. The heat and steam will gently escape from the towel.)
Transfer mixture to an airtight container and let mature in the fridge overnight. Freeze mixture in ice cream maker according to your unit's instructions. Once the volume has increased by half and has thickened to a soft serve consistency, add in chopped chocolate. Transfer ice cream to freezer safe container and let chill in the freezer for at least 30 minutes before serving. Allow ice cream to sit at room temperature for 5 minutes to soften before scooping.