Combine half-and-half, sugar, and lemon zest in a medium saucepan. Simmer until the sugar is dissolved. Pour 2 cups of half-and-half mixture over the chocolate to melt it and stir until smooth. Add chocolate mixture to the remaining half-and-half mixture. Refrigerate at least 4 hours for texture. Strain through fine mesh strainer. Process in an ice cream maker according to the manufacturer instructions. Add lemon juice within the first 5 minutes. When finished mixing, fold in strawberries and place in freezer to harden.