Add strawberries, sugar and lemon juice to an 8 x 8 baking pan. Bake for 45 - 50 minutes until strawberries are tender and juice is released. Cool slightly, then mash strawberries into small pieces with a fork. Cool and refrigerate 2 - 3 hours.
In a large bowl, mix the condensed milk, vanilla, and salt until well combined. Stir in the strawberries.
Beat the heavy cream, with mixer on high speed, until stiff peaks form, 1 - 2 minutes.
Fold 1/2 of the whipped cream into the condensed milk mixture gently with a rubber spatula until combined. Then fold in the remaining whipped cream until no white streaks remain.
Pour 1/2 of the ice cream mixture into a freezer safe loaf pan (I used a metal pan) or a baking dish. Sprinkle over 1/2 of the graham cracker pieces. Spoon the remaining ice cream mixture over the graham cracker pieces. Top with remaining cracker pieces.
Cover with plastic wrap and freeze until firm, at least 6 hours or overnight.