In a saucepan over medium heat, combine heavy cream, almond milk, and sweetener. Heat until it begins to steam.
In a bowl, whisk egg yolks. Slowly whisk in about ½ cup of the hot cream mixture to temper the yolks.
Pour the tempered yolks back into the saucepan. Cook over medium-low heat, stirring constantly until the mixture thickens slightly (around 170°F).
Remove from heat, stir in vanilla and salt.
Cool the mixture completely, then refrigerate for at least 3 hours or overnight.
Churn in an ice cream maker according to manufacturer instructions until thick and creamy.
Transfer to an airtight container and freeze until firm (about 2 hours).