Fill a large mixing bowl halfway with ice and water. Nestle a medium-sized bowl into the ice bath, adding more ice if needed to keep it stable. Pour one cup of whipping cream into the medium bowl, then place a fine-mesh strainer on top.
Add the half-and-half, salt, and sugar to a medium saucepan. Over low to medium heat, gently warm the half and half, stirring occasionally, until the sugar dissolves. Heat it just until small bubbles begin to form around the edges of the pan, approximately 4 minutes. Then, remove the saucepan from the heat.
Place the egg yolks in a medium-sized bowl and whisk until smooth. Slowly, and while whisking, pour 1/2 of the warm half and half into the egg yolks. Whisk constantly until well blended.
Pour the egg mixture back into the saucepan with the remaining half-and-half, whisking as you pour. Insert a food thermometer and heat the mixture on low heat until it thickens and reaches 175-180°F. This will take about 4-6 minutes. Be sure to stir constantly and scrape the bottom of the pan as you stir. Do not boil. When the custard reaches temperature, remove it from the heat and pour it into the cold cream through the strainer.
Stir the mixture and add the chopped blueberries. Stir again. Insert the thermometer and let the custard cool to 70°F. Then, chill the ice cream mixture in a freezer for 2 hours or a refrigerator for 4 hours.
Then, add the cold mixture to an ice cream freezer and freeze according to the manufacturer's instructions.
When the ice cream finishes freezing, place it in a container with a lid and into a freezer for at least 4 hours or overnight.