In microwave, heat half and half at high power for 45 seconds. Make sure it’s hot, but do NOT boil.
Whisk ½ cup of the sugar, vanilla, and almond extract, and salt into hot half and half until completely dissolved. Combine vanilla mixture with heavy cream, and set aside.
Peel, pit, and puree peaches with 2 teaspoons lemon juice and remaining ½ cup sugar. Stir into cream mixture, then cover and refrigerate at least 2 hours.
Pour cooled mixture into ice cream maker, and churn according to manufacturer’s instructions. Enjoy immediately, or transfer to an airtight freezer container, and allow to harden in the freezer.