Dice peaches, unpeeled.
In a blender or food processor, combine peaches with lime juice and sugar and purée until completely smooth with no large chunks to produce about 1 quart of purée.
Pour into a fine mesh strainer, pressing the purée through with a plastic spatula or ladle, into an airtight container.
Add salt to taste.
Press a piece of plastic wrap against surface of purée and chill in refrigerator for about two hours until cold.
Churn in an ice cream maker according to manufacturer's directions.
Transfer to a container and chill in freezer for about two to three hours until firm.