Vanilla Frozen Yogurt

How many of you have been to the new yogurt places that are popping up all over? I love them! The frozen yogurt is totally different than the Golden Swirl variety that I grew up eating (and loved incidentally). I think that is why I can find a place for them both in my heart. I was excited when I found this simple, yummy recipe that lets me enjoy this new frozen yogurt wonder without leaving the comforts of home. :) I am curious, though. Has anyone ever tried splenda in homemade ice cream or yogurt? I've been thinking of trying it, but I wonder if it would ruin the consistency.

Vanilla Frozen Yogurt
Submitted by Mindy (found in the Cuisinart ice cream and yogurt recipe book)

1 1/4 cups whole milk
3/4 cup granulated sugar
2 1/2 cups plain fat-free yogurt (I used lowfat)
1/4 cup heavy cream
1 tablespoon pure vanilla extract

Place milk and sugar in a medium bowl; combine, using a whisk or hand mixer on low speed, until sugar is completely dissolved. Stir in yogurt, heavy cream and vanilla. The yogurt will have a soft, creamy texture. Makes ten 1/2 cup servings (this is a small recipe, so double it or even triple it if you are using a large traditional ice cream maker).