At least 24 hours before making the ice cream, put your ice cream machine bowl into your freezer. If you have a super freeze option, turn it on.
Into a large, heat-proof bowl, pour the heavy cream. Set a fine-mesh sieve over the top and set it aside.
2 cups (473 ml) heavy cream
Into a medium saucepan, add the milk, honey and salt. Heat over medium heat, stirring frequently, until the honey is fully dissolved and the milk starts to steam. Do not let it boil.
1 cup (236 ml) whole milk, 2/3 cup (213 grams) runny honey, 1/4 teaspoon salt
In a separate medium bowl, whisk the 3 large egg yolks until they are well combined and smooth.
3 (54 grams total) large egg yolks
Gradually pour about half of the warm milk mixture into the egg yolks in a slow, steady stream, while whisking continuously. This prevents the eggs from curdling.
Pour this mixture back into the saucepan with the remaining milk. Continue stirring, scraping the bottom constantly with a wooden spoon or spatula over medium-low heat.
Continue stirring until the mixture coats the back of a spoon and registers 170 °F (77 °C) on a thermometer. This should take about 3 to 7 minutes.
Immediately pour the hot custard through the sieve into the cold heavy cream. This stops the cooking and removes any potential egg bits.
Stir in the vanilla. Refrigerate for at least 8 hours.
1 teaspoon vanilla extract
Pour the chilled mixture into your ice cream maker and churn according to the manufacturer's instructions.
Transfer to a freezer-safe container and freeze for 4 to 8 hours to firm up. If you use a shallow container (which is best), 4 hours is likely enough. Otherwise, you'll probably need 8 hours. The ice cream will remain soft and scoopable once frozen.