Because this ice cream has a lower fat content than some (buttermilk, a main ingredient, is low fat), you’ll want to let it soften slightly at room temperature before serving. If you can’t find loose chamomile flowers, I have a hunch that about 4 chamomile tea bags would work, too. And certainly feel free to experiment with other herbs or teas for steeping. If you like lavender that could be really nice used sparingly, as would something savory like thyme. Please note that the ice cream base takes 2 hours to chill and 4 hours to firm up, and this time isn’t accounted for in the breakdowns above — nor is the total time as everyone’s ice cream machine really works at different speeds.
Bring cream to a slow, gentle simmer in heavy-bottomed medium saucepan over medium heat. Remove from the heat and stir in the chamomile flowers. Let sit for 15 minutes.
In a medium bowl, whisk together egg yolks and sugar until smooth. Put cream mixture back on the stovetop and heat on medium heat until it just barely comes to a simmer. Very slowly whisk the hot cream mixture into the egg mixture. Return the mixture to saucepan, add the honey and stir continuously over medium-low heat until custard is thick enough to coat back of spoon, about 3-5 minutes. Be careful not to boil.
Pour the custard through a fine-weive strainer and into a medium bowl. Whisk in buttermilk, sour cream, vanilla and salt. Cover the bowl and refrigerate until cold, 2 hours (or up to overnight if easier).
Process custard in ice cream maker according to manufacturer’s instructions. Transfer ice cream to a large, flat container (I prefer a bread loaf pan). Cover and freeze until firm, at least 4 hours.