Bring the cream, sugar, and salt to a simmer in a small saucepan and then remove from heat. Add the roasted figs, cover, and infuse for one hour. Strain the figs from the cream and pulse the figs in a blender or food processor until chunky, about 3-5 pulses. Transfer to an airtight container and refrigerate until ready to use. Reserve the fig-infused cream.
Before you make the ice cream, ready your work area. First, partially fill a large bowl with ice and water and then float a 2-liter bowl in the larger one. Set a strainer over the smaller bowl.
In a separate bowl, whisk together the egg yolks until pale and frothy, about 10 seconds. Rewarm the fig-infused cream and then temper the eggs by slowly pouring about 1/3 of the cream into the yolks while constantly whisking as you pour. Add the egg and milk mixture back into the saucepan.
Cook over medium-low heat, constantly stirring with a heat-resistant spatula until the custard registers 180°F degrees.
Strain the custard into bowl over the ice bath and stir until cool. Pour the custard into a blender and puree with the honey, lemon juice, and ricotta until smooth, about a minute. Transfer the mixture to a container, cover, and chill overnight.
Freeze the custard in your ice cream maker according to the manufacturer’s instructions. Turn off the machine and transfer some of the custard to a container. Swirl in some additional honey and fig puree. Repeat with the remaining custard and fig puree. Cover and store in the freezer until ready to serve, at least 8 hours.